[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/952#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/952","headline":"DifferenzenQuotient  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"DifferenzenQuotient  – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 \u9055\u3044\u306e\u5546 \u6570\u5b66\u304b\u3089\u306e\u7528\u8a9e\u3067\u3059\u3002\u30b5\u30a4\u30ba\u3092\u5909\u66f4\u3057\u3066\u5225\u306e\u30b5\u30a4\u30ba\u3092\u5909\u66f4\u3059\u308b\u6bd4\u7387\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6700\u521d\u306e\u30b5\u30a4\u30ba\u306f2\u756a\u76ee\u306e\u30b5\u30a4\u30ba\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u5206\u6790\u3067\u306f\u3001\u95a2\u6570\u306e\u5c0e\u51fa\u3092\u5b9a\u7fa9\u3059\u308b\u305f\u3081\u306b\u5dee\u5206\u5546\u54c1\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u6570\u5024\u6570\u5b66\u3067\u306f\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u3001\u95a2\u6570\u306e\u5c0e\u51fa\uff08\u6570\u5024\u5206\u5316\uff09\u306e\u5c0e\u51fa\u306e\u8fd1\u4f3c\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 after-content-x4 \u3053\u308c\u306f\u3001\u4f1d\u9001\u95a2\u6570\u306b\u3082\u9069\u7528\u3055\u308c\u307e\u3059 g \uff08 s \uff09\uff09 {displaystyle g\uff08s\uff09} \u30e9\u30d7\u30e9\u30b9\u306e\u51fa\u529b\u5165\u529b\u6bd4\u3092\u5099\u3048\u305f\u52d5\u7684\u30b7\u30b9\u30c6\u30e0\u306e\u30b7\u30b9\u30c6\u30e0\u7406\u8ad6\u3001\u5236\u5fa1\u6280\u8853\u306f\u3001\u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u5909\u63db\u3057\u307e\u3057\u305f\uff08\u5e72\u6e09\u95a2\u6570\u3092\u4f7f\u7528\uff09\u3002\u9006\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306b\u3088\u308a\u3001\u305d\u308c\u3089\u306f\u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306b\u8d77\u56e0\u3057\u3001\u5dee\u5206\u5546\u3092\u4f7f\u7528\u3057\u3066\u307b\u307c\u6570\u5024\u7684\u306b\u89e3\u6c7a\u3067\u304d\u307e\u3059\u3002 after-content-x4 \u8d64\u3044\u66f2\u7dda\u306f\u95a2\u6570\u3092\u8868\u3057\u307e\u3059 f {displaystyle f} \u9752\u3044\u7dda\u306f2\u3064\u306e\u6a5f\u80fd\u5024\u3092\u63a5\u7d9a\u3057\u307e\u3059 \u30d0\u30c4 =","datePublished":"2020-07-18","dateModified":"2020-07-18","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/cb2e6025c8f4c9d44fb1dc2da68407e4eb56f9db","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/cb2e6025c8f4c9d44fb1dc2da68407e4eb56f9db","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki10\/archives\/952","wordCount":22403,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u9055\u3044\u306e\u5546 \u6570\u5b66\u304b\u3089\u306e\u7528\u8a9e\u3067\u3059\u3002\u30b5\u30a4\u30ba\u3092\u5909\u66f4\u3057\u3066\u5225\u306e\u30b5\u30a4\u30ba\u3092\u5909\u66f4\u3059\u308b\u6bd4\u7387\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6700\u521d\u306e\u30b5\u30a4\u30ba\u306f2\u756a\u76ee\u306e\u30b5\u30a4\u30ba\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u5206\u6790\u3067\u306f\u3001\u95a2\u6570\u306e\u5c0e\u51fa\u3092\u5b9a\u7fa9\u3059\u308b\u305f\u3081\u306b\u5dee\u5206\u5546\u54c1\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u6570\u5024\u6570\u5b66\u3067\u306f\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u3001\u95a2\u6570\u306e\u5c0e\u51fa\uff08\u6570\u5024\u5206\u5316\uff09\u306e\u5c0e\u51fa\u306e\u8fd1\u4f3c\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u3053\u308c\u306f\u3001\u4f1d\u9001\u95a2\u6570\u306b\u3082\u9069\u7528\u3055\u308c\u307e\u3059 g \uff08 s \uff09\uff09 {displaystyle g\uff08s\uff09} \u30e9\u30d7\u30e9\u30b9\u306e\u51fa\u529b\u5165\u529b\u6bd4\u3092\u5099\u3048\u305f\u52d5\u7684\u30b7\u30b9\u30c6\u30e0\u306e\u30b7\u30b9\u30c6\u30e0\u7406\u8ad6\u3001\u5236\u5fa1\u6280\u8853\u306f\u3001\u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u5909\u63db\u3057\u307e\u3057\u305f\uff08\u5e72\u6e09\u95a2\u6570\u3092\u4f7f\u7528\uff09\u3002\u9006\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306b\u3088\u308a\u3001\u305d\u308c\u3089\u306f\u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306b\u8d77\u56e0\u3057\u3001\u5dee\u5206\u5546\u3092\u4f7f\u7528\u3057\u3066\u307b\u307c\u6570\u5024\u7684\u306b\u89e3\u6c7a\u3067\u304d\u307e\u3059\u3002         (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u8d64\u3044\u66f2\u7dda\u306f\u95a2\u6570\u3092\u8868\u3057\u307e\u3059 f {displaystyle f} \u9752\u3044\u7dda\u306f2\u3064\u306e\u6a5f\u80fd\u5024\u3092\u63a5\u7d9a\u3057\u307e\u3059 \u30d0\u30c4 = x0{displaystyle x = x_ {0}} \u3068 \u30d0\u30c4 = x1{displaystyle x = x_ {1}} \u3002\u9055\u3044\u306e\u5546\u306f\u3001\u9752\u3044\u76f4\u7dda\u306e\u52fe\u914d\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002 \u306f        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4f \uff1a d f \u2192 r {displaystyle fcolon d_ {f} to mathbb {r}} \u305d\u306e\u5730\u57df\u3067\u306e\u5b9f\u969b\u306e\u6a5f\u80fd d f \u2282 r {displaystyle d_ {f} Subset Mathbb {r}} \u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059 [ \u30d0\u30c4 0 ; \u30d0\u30c4 \u521d\u3081 ] \u2282 d f {displaystyle [x_ {0}; x_ {1}] Subset d_ {f}} \u3053\u308c\u306f\u5546\u304c\u547c\u3070\u308c\u308b\u3082\u306e\u3067\u3059 \u30d5\u30a1\u30a4 \uff08 \u30d0\u30c4 1\u3001 \u30d0\u30c4 0\uff09\uff09 = f(x1)\u2212f(x0)x1\u2212x0{displaystyle varphi\uff08x_ {1}\u3001x_ {0}\uff09= {frac {f\uff08x_ {1}\uff09 –  f\uff08x_ {0}\uff09} {x_ {1} -x_ {0}}}}}}}}} \u306e\u5dee f {displaystyle f} \u9593\u9694\u3067 [ \u30d0\u30c4 0 ; \u30d0\u30c4 \u521d\u3081 ] {displaystyle [x_ {0}; x_ {1}]} \u3002 [\u521d\u3081] [2] [3] \u3042\u306a\u305f\u304c\u66f8\u304f d \u30d0\u30c4 \uff1a= \u30d0\u30c4 \u521d\u3081  –  \u30d0\u30c4 0 {displaystyle delta x\uff1a= x_ {1} -x_ {0}} \u3068 d \u3068 \uff1a= f \uff08 \u30d0\u30c4 1\uff09\uff09  –  f \uff08 \u30d0\u30c4 0\uff09\uff09 {displaystyle delta y\uff1a= fleft\uff08x_ {1} right\uff09-fleft\uff08x_ {0} right\uff09} \u3001\u6b21\u306b\u3001\u4ee3\u66ff\u30b9\u30da\u30eb\u306e\u7d50\u679c \u0394y\u0394x= f(x1)\u2212f(x0)x1\u2212x0{displaystyle {frac {delta y} {delta x}} = {frac {f\uff08x_ {1}\uff09-f\uff08x_ {0}\uff09} {x_ {1} -x_ {0}}}}}}} \u3002 \u3042\u306a\u305f\u304c\u8a2d\u5b9a\u3057\u305f h = \u30d0\u30c4 \u521d\u3081  –  \u30d0\u30c4 0 {displaystyle h = x_ {1} -x_ {0}} \u3001 \u307e\u305f \u30d0\u30c4 \u521d\u3081 = \u30d0\u30c4 0 + h {displaystyle x_ {1} = x_ {0}+h} \u3060\u304b\u3089\u3042\u306a\u305f\u306f\u30b9\u30da\u30eb\u3092\u53d6\u5f97\u3057\u307e\u3059 f(x0+h)\u2212f(x0)h{displaystyle {frac {f\uff08x_ {0}+h\uff09-f\uff08x_ {0}\uff09} {h}}}} \u3002 \u5e7e\u4f55\u5b66\u7684\u306b\u3001\u5dee\u5206\u5546\u306f\u306e\u30b0\u30e9\u30d5\u306e2\u756a\u76ee\u306e\u30b9\u30ed\u30fc\u30d7\u306b\u5bfe\u5fdc\u3057\u307e\u3059 f {displaystyle f} \u30dd\u30a4\u30f3\u30c8\u3092\u901a\u3057\u3066 \uff08 \u30d0\u30c4 0 \u3001 f \uff08 \u30d0\u30c4 0 \uff09\uff09 \uff09\uff09 {displaystyle\uff08x_ {0}\u3001f\uff08x_ {0}\uff09\uff09} \u3068 \uff08 \u30d0\u30c4 \u521d\u3081 \u3001 f \uff08 \u30d0\u30c4 \u521d\u3081 \uff09\uff09 \uff09\uff09 {displaystyle\uff08x_ {1}\u3001f\uff08x_ {1}\uff09} \u3002\u305f\u3081\u306b \u30d0\u30c4 \u521d\u3081 \u2192 \u30d0\u30c4 0 {displaystyle x_ {1} rightArrow x_ {0}} \u307e\u305f\u3002 h \u2192 0 {displaystyle highrightarrow 0} \u305d\u306e\u6642\u70b9\u3067\u30bb\u30ab\u30f3\u30c6\u304b\u3089\u63a5\u7dda\u306b\u306a\u308a\u307e\u3059 \u30d0\u30c4 0 {displaystyle x_ {0}} \u3002 \u9650\u754c\u5024\u7528\u8a9e\u3068\u3068\u3082\u306b\u3001\u5dee\u5206\u8a08\u7b97\u306e\u57fa\u790e\u3092\u5f62\u6210\u3057\u307e\u3059\u3002\u306e\u9055\u3044\u5546\u306e\u9650\u754c \u30d0\u30c4 1\u2192 \u30d0\u30c4 0{displaystyledisplayStyle x_ {1} rightArrow {0}} \u3068\u547c\u3070\u308c\u307e\u3059 \u5fae\u5206\u5546 \u307e\u305f \u5c0e\u51fa \u30dd\u30a4\u30f3\u30c8\u3067\u306e\u95a2\u6570 \u30d0\u30c4 0 {displaystyle x_ {0}} \u3001\u3053\u306e\u5236\u9650\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3002 \u8868\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u95a2\u6570\u306e\u6d3e\u751f\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u9055\u3044\u306e\u5546\u306f\u6b63\u3057\u3044\u3067\u3059 \u30d0\u30c4 \u521d\u3081 \u2260 \u30d0\u30c4 0 {displaystyle x_ {1} neq x_ {0}} \u3002 Table of Contents\u9055\u3044\u306e\u30d0\u30ea\u30a2\u30f3\u30c8\u306e\u5b9a\u7fa9\u6700\u521d\u306e\u6d3e\u751f\u898f\u5236 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6982\u5ff5\u7684\u306a\u8aac\u660e [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u9055\u3044\u306e\u5546 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5dee\u5206\u5546\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u51e6\u7406 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3088\u308a\u9ad8\u3044\u6d3e\u751f\u3068\u30a8\u30e9\u30fc\u306e\u9806\u5e8f\u306e\u901a\u5e38\u306e\u9055\u3044\u306e\u5546 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u518d\u5e30\u65b9\u7a0b\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30d0\u30ba [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u88fd\u54c1\u306e\u30d7\u30ec\u30bc\u30f3\u30c6\u30fc\u30b7\u30e7\u30f3 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3088\u308a\u9ad8\u3044\u6d3e\u751f\u3068\u30a8\u30e9\u30fc\u306e\u9806\u5e8f\u306e\u901a\u5e38\u306e\u9055\u3044\u306e\u5546 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e2d\u592e\u306e\u5dee\u5206\u5546 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u652f\u63f4\u6a5f\u95a2\u306e\u3055\u307e\u3056\u307e\u306a\u79d1\u5b66\u6307\u6570 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u9055\u3044\u306e\u30d0\u30ea\u30a2\u30f3\u30c8\u306e\u5b9a\u7fa9\u6700\u521d\u306e\u6d3e\u751f\u898f\u5236 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e3b\u306b\u6570\u5024\u6570\u5b66\u3067 \u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f \u4e00\u5b9a\u306e\u4fc2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001 \u5dee\u7570\u65b9\u7a0b\u5f0f \u4e00\u5b9a\u306e\u9593\u9694\u306b\u5fdc\u3058\u3066\uff08 d \u30d0\u30c4 {displaystyle delta x} \u3001 d t {displaystyle delta t} \u3001h\uff09\u9023\u7d9a\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3057\u305f\u3002\u901a\u5e38\u306e\u5dee\u7570\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u306f\u3001\u591a\u304f\u306e\u8a08\u7b97\u7d50\u679c\u3092\u4ecb\u3057\u3066\u518d\u5e30\u7684\u306b\u306a\u308a\u3001\u901a\u5e38\u306f\u6574\u7136\u3068\u30bb\u30c3\u30c8\u30a2\u30c3\u30d7\u3055\u308c\u305f\u30b7\u30b9\u30c6\u30e0\u51fa\u529b\u30b7\u30fc\u30b1\u30f3\u30b9\u3067\u3042\u308b\u3053\u3068\u304c\u5224\u660e\u3057\u307e\u3057\u305f \u3068 k {displaystyle y_ {k}} \uff08\u30b5\u30dd\u30fc\u30c8\u30b5\u30a4\u30c8\u3001\u30ce\u30fc\u30c9\uff09\u72ec\u7acb\u5909\u6570\u306b\u5fdc\u3058\u3066 \u30d0\u30c4 k {displaystyle x_ {k}} \u3001\u307e\u305f\u306f\u6642\u9593\u5185\u306b\u4f9d\u5b58\u3059\u308b\u30b7\u30b9\u30c6\u30e0 t k {displaystylet_ {k}} \u3057\u304b\u3057\u3002 \u6982\u5ff5\u7684\u306a\u8aac\u660e [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f \u4e00\u5b9a\u306e\u4fc2\u6570\u3067 \u30c6\u30af\u30ce\u30ed\u30b8\u30fc\u3001\u81ea\u7136\u3001\u7d4c\u6e08\u306a\u3069\u306e\u74b0\u5883\u306e\u52d5\u7684\u30d7\u30ed\u30bb\u30b9\u306f\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002 z\u3092\u63a2\u3057\u3066\u3044\u308b\u95a2\u6570\u306b\u52a0\u3048\u3066\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u304c\u542b\u307e\u308c\u307e\u3059\u3002 B. \u3068 \uff08 t \uff09\uff09 {displaystyle y\uff08t\uff09} \u307e\u305f\u3001\u63a2\u3057\u3066\u3044\u308b\u95a2\u6570\u3082\u5c0e\u304d\u51fa\u3057\u307e\u3059 \u3068 ‘ \uff08 t \uff09\uff09 {displaystyle y ‘\uff08t\uff09} \u3002\u3042\u306a\u305f\u304c\u63a2\u3057\u3066\u3044\u308b\u95a2\u6570\u304c\u5909\u6570\uff08\u5909\u6570\uff09\u306b\u306e\u307f\u4f9d\u5b58\u3059\u308b\u5834\u5408\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f\u901a\u5e38\u547c\u3073\u51fa\u3055\u308c\u307e\u3059\u3002 \u2192 {displaystyle\u306b} \u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\uff03\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u5b9a\u7fa9\uff08DGL\uff09\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 \u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u8a08\u7b97\u306f\u3001\u5dee\u7570\u65b9\u7a0b\u5f0f\u3092\u4ecb\u3057\u3066\u884c\u308f\u308c\u307e\u3059\u3002\u9023\u7d9a\u95a2\u6570\u306e\u4ee3\u308f\u308a\u306b\u3001\u3053\u308c\u306b\u3088\u308a\u6709\u9650\u6570\u306e\u30d5\u30a9\u30ed\u30fc\u30a2\u30c3\u30d7\uff08\u5024\uff09\u304c\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002\u5404\u30a8\u30d4\u30bd\u30fc\u30c9\u3067\u306f\u3001\u904e\u53bb\u306e\u30a8\u30d4\u30bd\u30fc\u30c9\u30921\u3064\u306e\u30aa\u30fc\u30c0\u30fc\u65b9\u7a0b\u5f0f\u306e\u9055\u3044\u65b9\u7a0b\u5f0f\u306e\u4e2d\u3067\u8a00\u53ca\u3057\u3066\u3044\u307e\u3059\u3002 \u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u6eb6\u6db2\u306b\u306f\u3001\u5dee\u7570\u65b9\u7a0b\u5f0f\u306e\u591a\u6570\u306e\u30d0\u30ea\u30a2\u30f3\u30c8\u304c\u3042\u308a\u307e\u3059\u3002\u5dee\u7570\u65b9\u7a0b\u5f0f\u306e\u8907\u96d1\u3055\u304c\u5897\u52a0\u3059\u308b\u3068\u3001\u51fa\u529b\u5909\u6570\u306e\u5206\u6790\u30b3\u30fc\u30b9\u3068\u540c\u3058\u8fd1\u4f3c\u306b\u5bfe\u3057\u3066\u9054\u6210\u3055\u308c\u307e\u3059 \u3068 \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle y\uff08x\uff09} \u30d5\u30a9\u30ed\u30fc\u30a2\u30c3\u30d7\u66f2\u306e\u6570 k max{displaystyle k_ {text {max}}} \u5927\u5e45\u306b\u524a\u6e1b\u3055\u308c\u307e\u3059\u3002 \u5dee\u7570\u65b9\u7a0b\u5f0f\u3092\u6301\u3064\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u306f\u3001\u6570\u5b57\u306e\u8981\u7d20\u306e\u518d\u5e30\u7684\u306a\u7d50\u679c\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u307b\u3068\u3093\u3069\u306e\u95a2\u6570\u307e\u305f\u306f\u5076\u6570\u306e\u30ea\u30b9\u30c8\u306e\u30ea\u30b9\u30c8\u3067\u3059\u3002\u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u30bf\u30a4\u30d7\u3068\u95a2\u9023\u3059\u308b\u5dee\u5206\u65b9\u7a0b\u5f0f\u306b\u5fdc\u3058\u3066\u3001\u756a\u53f7\u4ed8\u3051\u306e\u5dee\u5206\u65b9\u7a0b\u5f0f\u306e\u5165\u529b\u304a\u3088\u3073\u51fa\u529b\u95a2\u9023\u30e1\u30f3\u30d0\u30fc\u306f\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u53d7\u3051\u53d6\u308a\u307e\u3059 k {displaystyle k} \u3002 k=[0,1,2,3,\u2026,kmax]{displaystyle k = [0,1,2,3\u3001dotsc\u3001k_ {text {max}}]}} \u7b97\u8853\u30a8\u30d4\u30bd\u30fc\u30c9\uff1a \u4e0e\u3048\u3089\u308c\u305f\u30d5\u30a9\u30ed\u30fc\u30a2\u30c3\u30d7\u5024\u306f\u3001\u56fa\u5b9a\u91d1\u984d\u306e\u3059\u3079\u3066\u306e\u30d5\u30a9\u30ed\u30fc\u30a2\u30c3\u30d7\u3067\u6210\u9577\u307e\u305f\u306f\u6c88\u307f\u307e\u3059\u3002\u4f8b\uff1a\u300c\u30d4\u30ae\u30fc\u30d0\u30f3\u30af\u300d\u3002 \u6307\u6570\u30b7\u30fc\u30b1\u30f3\u30b9\uff1a \u6307\u5b9a\u3055\u308c\u305f\u5f8c\u7d9a\u306e\u5024\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u30d5\u30a9\u30ed\u30fc\u30a2\u30c3\u30d7\u304c\u540c\u3058\u5272\u5408\u307e\u305f\u306f\u540c\u3058\u76f8\u5bfe\u30b7\u30a7\u30a2\u3067\u5897\u52a0\u307e\u305f\u306f\u4f4e\u4e0b\u3057\u307e\u3059\u3002\u4f8b\uff1a\u8907\u5229\u3002 \u5f93\u5c5e\u5909\u6570 \u3068 k+1{displaystyle y_ {k+1}} \u6b21\u306e\u756a\u53f7\u4ed8\u304d\u30d5\u30a9\u30ed\u30fc\u30a2\u30c3\u30d7\u306b\u5bfe\u5fdc\u3057\u307e\u3059 \u3068 k{displaystyle y_ {k}} \u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0\u30b9\u30c6\u30c3\u30d7\u306e\u5f8c d \u30d0\u30c4 = h {displaystyledelta x = h} \u3002\u5f93\u5c5e\u5909\u6570 \u3068 k\u22121{displaystyle y_ {k-1}} \u904e\u53bb\u6570\u5b57\u306e\u30d5\u30a9\u30ed\u30fc\u30a2\u30c3\u30d7\u306b\u5bfe\u5fdc\u3057\u307e\u3059 \u3068 k{displaystyle y_ {k}} \u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0\u30b9\u30c6\u30c3\u30d7\u306e\u524d d \u30d0\u30c4 = h {displaystyledelta x = h} \u3002 \u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3\u306e\u7d50\u679c\u3001\u9023\u7d9a\u95a2\u6570\u304c\u751f\u3058\u307e\u3059\u3002\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u5dee\u7570\u65b9\u7a0b\u5f0f\u306b\u8ee2\u9001\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u89e3\u306f\u96e2\u6563\u95a2\u6570\u306b\u306a\u308a\u307e\u3059\u3002 \u5dee\u5206\u65b9\u6cd5\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u3001\u591a\u304f\u306e\u5834\u5408\u3001\u9078\u629e\u3055\u308c\u305f\u30b9\u30c6\u30c3\u30d7\u30b5\u30a4\u30ba\u306b\u5fdc\u3058\u3066\u3001\u307b\u3068\u3093\u3069\u306e\u52aa\u529b\u3067\u5f0f\u3092\u30bb\u30c3\u30c8\u30a2\u30c3\u30d7\u3067\u304d\u307e\u3059\u3002 d \u30d0\u30c4 {displaystyle delta x} \u5206\u6790\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u306b\u5bfe\u3059\u308b\u591a\u304b\u308c\u5c11\u306a\u304b\u308c\u826f\u3044\u96e2\u6563\u30a2\u30d7\u30ed\u30fc\u30c1\u3002 \u901a\u5e38\u306e\u7dda\u5f62\u5fae\u5206\u65b9\u7a0b\u5f0f\u3001\u4f8b\u3048\u3070B.\u6700\u521d\u306e\u30aa\u30fc\u30c0\u30fc\u52d5\u7684\u30b7\u30b9\u30c6\u30e0\u3092\u8aac\u660e\u3057\u307e\u3059\u3002 a1\u22c5y\u2032(t)+a0\u22c5y(t)=b0\u22c5u(t){displaystyle a_ {1} cdot y ‘\uff08t\uff09+a_ {0} cdot y\uff08t\uff09= b_ {0} cdot u\uff08t\uff09} \u5f8c\u306e\u80fd\u529b \u9055\u3044 \u5dee\u7570\u65b9\u7a0b\u5f0f\u306b\u5909\u63db\u3059\u308b\u306e\u306f\u6bd4\u8f03\u7684\u7c21\u5358\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u5fae\u5206\u6307\u6570\u3092\u3001\u7570\u306a\u308b\u5f62\u5f0f\u306e\u5dee\u5206\u5546\u3092\u76f4\u63a5\u4ea4\u63db\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u518d\u5e30\u7684\u5dee\u7570\u65b9\u7a0b\u5f0f\u304c\u81ea\u52d5\u7684\u306b\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002 [4] [5] \u9055\u3044\u306e\u65b9\u7a0b\u5f0f\u3092\u6301\u3064\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3\u306e\u53e4\u5178\u7684\u306a\u65b9\u6cd5\u306f\u3001\u521d\u671f\u5024\u306e\u554f\u984c\u306e\u6570\u5024\u89e3\u306e\u305f\u3081\u306e\u30aa\u30a4\u30e9\u30fc\u30eb\u30fc\u30c8\u30d7\u30ed\u30bb\u30b9\u3067\u3059\u3002 [6] \u9055\u3044\u306e\u5546 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6570\u5b57\u3067\u306f\u3001\u5dee\u5206\u5546\u306f\u3001\u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u5fae\u5206\u5546\u306e\u6642\u9593\u96e2\u6563\u5f62\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u5f93\u5c5e\u5909\u6570\u3092\u6301\u3064\u5dee\u984d\u6307\u6570 \u3068 \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle y\uff08x\uff09} \u304a\u3088\u3073\u72ec\u7acb\u5909\u6570 \u30d0\u30c4 {displaystyle x} \u307e\u305f\u306f\u5909\u6570\u306e\u6642\u9593\u4f9d\u5b58\u95a2\u6570\u306e\u5834\u5408 t {displaystylet} \u6b21\u306e\u65b9\u6cd5\u3092\u533a\u5225\u3057\u307e\u3059\u3002 [7]  \u6700\u521d\u306e\u6b21\u6570\u5dee\u6307\u6570\u306e\u8868\u73fe\u3002 \u9806\u65b9\u5411\u306e\u5dee \u95a2\u6570\u7528 y\u2032= f \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09 {displaystyle y ‘= f\uff08x\u3001y\uff09} \u56f3\u306b\u5f93\u3063\u3066\u5de6\u306e\u9593\u9694\u7dda\u3092\u6307\u3057\u307e\u3059 x(k){displaystyle x _ {\uff08k\uff09}} \u5f8c x(k+1){displaystyle x _ {\uff08k+1\uff09}} \u9593\u9694\u3067 h {displaystyle h} \u3002 y\u2032\u2248\u0394y\u0394x=y(x+h)\u2212y(x)(x+h)\u2212x:=y(k+1)\u2212y(k)h{displaystyle y’approx {frac {Delta y}{Delta x}}={frac {y(x+h)-y(x)}{(x+h)-x}}:={frac {y_{(k+1)}-y_{(k)}}{h}}} \u5f8c\u65b9\u5dee\u5206\u6307\u6570 \u9593\u9694\u306e\u5f8c\u306b\u9006\u65b9\u5411\u306b\u6b63\u3057\u3044\u9593\u9694\u5883\u754c\u3092\u6307\u3057\u307e\u3059 h {displaystyle h} \u304b\u3089 x(k){displaystyle x _ {\uff08k\uff09}} \u5f8c x(k\u22121){displaystyle x _ {\uff08k-1\uff09}} \u3002 y\u2032\u2248\u0394y\u0394x=y(x)\u2212y(x\u2212h)(x+h)\u2212x:=y(k)\u2212y(k\u22121)h{displaystyle y’approx {frac {Delta y}{Delta x}}={frac {y(x)-y(x-h)}{(x+h)-x}}:={frac {y_{(k)}-y_{(k-1)}}{h}}} \u4e2d\u5fc3\u7684\u306a\u9055\u3044\u306e\u5546 \u53f3\u5074\u3068\u5de6\u306e\u9593\u9694\u7dda\u3092\u6307\u3057\u307e\u3059\u3002 y(k+1)\u00a0nach\u00a0y(k\u22121)\u3068 2 de h {displaystyle {y _ {\uff08k+1\uff09} {text {aby}} y _ {\uff08k-1\uff09}} {text {with}} {2cdot h}}}  y\u2032\u2248\u0394y\u0394x=y(x+h)\u2212y(x\u2212h)2\u22c5[(x+h)\u2212x]:=y(k+1)\u2212y(k\u22121)2\u22c5h{displaystyle y’approx {frac {Delta y}{Delta x}}={frac {y(x+h)-y(x-h)}{2cdot [(x+h)-x]}}:={frac {y_{(k+1)}-y_{(k-1)}}{2cdot h}}} \u4e2d\u5fc3\u5dee\u5206\u3092\u5fae\u5206\u65b9\u7a0b\u5f0f\u3067\u4f7f\u7528\u3059\u308b\u5834\u5408\u3001\u305d\u308c\u306f2\u3064\u306e\u65b9\u6cd5\u306e\u7b97\u8853\u5e73\u5747\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u5206\u6790\u6a5f\u80fd\u306b\u30a2\u30d7\u30ed\u30fc\u30c1\u3059\u308b\u9ad8\u7cbe\u5ea6\u306f\u3001\u306e\u5024\u306e\u4f4e\u4e0b\u3068\u3068\u3082\u306b\u5897\u52a0\u3057\u307e\u305b\u3093 h {displaystyle h} \u3001\u3057\u304b\u3057\u3001\u306e\u4f4e\u4e0b\u5024\u306e\u6b63\u65b9\u5f62\u3067 h {displaystyle h} \u3002 \u5dee\u5206\u5546\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u51e6\u7406 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6b21\u306e\u5358\u7d14\u306a\u5fae\u5206\u65b9\u7a0b\u5f0f\u304c\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 y\u2032(x)=y(x)+ex{displaystyle y ‘\uff08x\uff09= y\uff08x\uff09+e^{x}} \u3002 \u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3\u6c7a\u7b56\u306f\u3001\u901a\u5e38\u3001\u985e\u4f3c\u306e\u52d5\u4f5c\u3092\u6301\u3064\u7121\u9650\u306e\u6570\u306e\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u3092\u6301\u3064\u95a2\u6570\u30b0\u30eb\u30fc\u30d7\u306e\u5f62\u306e\u4e00\u822c\u7684\u306a\u89e3\u3092\u3082\u305f\u3089\u3057\u307e\u3059\u3002 \u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u521d\u671f\u5024\u306e\u554f\u984c\uff1a \u521d\u671f\u5024\u306e\u554f\u984c\u306e\u89e3\u6c7a\u7b56\u306f\u3001\u7279\u5b9a\u306e\u521d\u671f\u5024\u3092\u8003\u616e\u3057\u3066\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u3067\u3059\u3002 \u521d\u671f\u5024 \u3068 0{displaystyle y_ {0}} \u305f\u3081\u306b \u30d0\u30c4 = 0 {displaystyle x = 0} \u5e38\u306b\u6307\u5b9a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u5206\u6790\u6a5f\u80fd\uff08\u6bd4\u8f03\u76ee\u7684\u3067\u5fc5\u8981\u306a\u5834\u5408\uff09\uff1a \u7279\u5b9a\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u9589\u3058\u305f\u6eb6\u6db2\u306e\u5834\u5408\u3001\u4e3b\u306a\u95a2\u6570\uff08\u7d71\u5408\uff09\u306f \u222bf(x)dx=F(x)+C{displaystyle int f\uff08x\uff09dx = f\uff08x\uff09+c} \u6559\u80b2\u3092\u53d7\u3051\u305f\u3002 \u5206\u6790\u6a5f\u80fd\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306b\u3001\u7a4d\u5206\u5b9a\u6570\u306f c {displaystyle c} \u30b5\u30a4\u30ba\u3067\u306f\u306a\u304f\u3001STEM\u95a2\u6570\u306e\u65b9\u7a0b\u5f0f\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059 \u3068 \uff08 \u30d0\u30c4 \uff09\uff09 {displaystyle y\uff08x\uff09} \u521d\u671f\u5024 \u3068 0{displaystyle y_ {0}} \u8a2d\u5b9a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u3088\u308a\u8907\u96d1\u306a\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u5834\u5408\u3001\u5206\u6790\u6a5f\u80fd\u3092\u5e38\u306b\u7d71\u5408\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u5b9a\u6570 c {displaystyle c} \u591a\u304f\u306e\u5834\u5408\u3001\u305d\u308c\u306f\u3042\u306a\u305f\u304c\u63a2\u3057\u3066\u3044\u308b\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u3067\u5e38\u306b\u767a\u751f\u3059\u308b\u3060\u3051\u3067\u306a\u304f\u3001\u8981\u56e0\u7684\u306b\u3082\u767a\u751f\u3057\u307e\u3059\u3002 \u9806\u65b9\u5411\u306e\u5dee\u7570\u5546\u3068\u306e\u7570\u306a\u308b\u30b9\u30b1\u30fc\u30eb\u65b9\u7a0b\u5f0f\uff1a \u5dee\u5206\u65b9\u7a0b\u5f0f\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u5c0e\u51fa \u3068 ‘ \uff08 \u30d0\u30c4 \uff09\uff09 = f \uff08 \u30d0\u30c4 \u3001 \u3068 \uff09\uff09 {displaystyle y ‘\uff08x\uff09= f\uff08x\u3001y\uff09} \u524d\u65b9\u5dee\u5206\u306e\u5546\u306b\u7f6e\u304d\u63db\u3048\u3089\u308c\u3001 y\u2032(x)=limx\u21920\u0394y\u0394x\u2248y(x+h)\u2212y(x)(x+h)\u2212x:=yk+1\u2212ykh{displayStyle y ‘\uff08x\uff09= lim _ {xto 0} {rudaud {delta and} {delta x}} compx {duraud {y\uff08x+h\uff09-y\uff08x\uff09} {\uff08x+h\uff09-x}}}}\uff1a= {froad {y_ {k+1} -y_ {k} \u3002 \u660e\u793a\u7684\u306a\u5dee\u7570\u65b9\u7a0b\u5f0f\u304c\u767a\u751f\u3057\u307e\u3059 yk+1\u2212ykh=f(xk,yk){displaystyle {frac {y_ {k+1} -y_ {k}} {h}} = f\uff08x_ {k}\u3001y_ {k}\uff09} \u3002 \u5dee\u7570\u65b9\u7a0b\u5f0f\u306e\u4e00\u822c\u7684\u306a\u5f62\u5f0f1. O.\u9806\u65b9\u5411\u306e\u9055\u3044\u306e\u5546\u306b\u3088\u308b\u3068\uff08\u5bfe\u5fdc\uff1a “euler-forward”\uff09\uff1a \u4e0a\u8a18\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u5dee\u7570\u65b9\u7a0b\u5f0f\u306e\u958b\u767a\uff1a yk+1\u2212ykh=yk+exk{displaystyle {frac {y_ {k+1} -y_ {k}} {h}} = y_ {k}+e^{x_ {k}}}} \u7570\u306a\u308b\u30b7\u30fc\u30f3\u65b9\u7a0b\u5f0f\uff1a yk+1=yk+h\u22c5(yk+exk){displaystyle y_{k+1}=y_{k}+hcdot (y_{k}+e^{x_{k}})} \u76ee\u7684\u306e\u521d\u671f\u5024\u306f\u3001 \u3068 0{displaystyle y_ {0}} \u3067 k = 0 {displaystyle k = 0} \u5165\u529b\u3002 \u2192 {displaystyle\u306b} \u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u9055\u3044\u65b9\u7a0b\u5f0f\uff08\u9055\u3044\u65b9\u6cd5\uff09\u3082\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 \u2192 {displaystyle\u306b} \u8a18\u4e8b\u306e\u660e\u793a\u7684\u306a\u30aa\u30a4\u30e9\u30fc\u624b\u9806\u3082\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 \u3088\u308a\u9ad8\u3044\u6d3e\u751f\u3068\u30a8\u30e9\u30fc\u306e\u9806\u5e8f\u306e\u901a\u5e38\u306e\u9055\u3044\u306e\u5546 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u4e00\u6b21\u5c0e\u95a2\u6570\u306e\u8fd1\u4f3c\u306b\u52a0\u3048\u3066\u3001\u3088\u308a\u9ad8\u3044\u8a98\u5c0e\u4f53\u306e\u6570\u5024\u8a08\u7b97\u306e\u305f\u3081\u306e\u7570\u306a\u308b\u30b9\u30b1\u30fc\u30eb\u5546\u3082\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u76ee\u7684\u306e\u305f\u3081\u306b\u3001\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u4e2d\u5fc3\u7684\u306a\u5dee\u984d\u306e\u6307\u6570\u306e\u307f\u304c\u8003\u616e\u3055\u308c\u307e\u3059\u3002\u30a2\u30ca\u30ed\u30b0\u306e\u8003\u616e\u4e8b\u9805\u306f\u3001\u9806\u65b9\u5411\u3068\u9006\u5dee\u5206\u306e\u5546\u306b\u3082\u5b58\u5728\u3057\u307e\u3059\u3002 [8] \u3053\u306e\u3088\u3046\u306a\u9055\u3044\u306e\u5546\u306e\u6d3e\u751f\u306e\u57fa\u790e\u306f\u3001\u30c6\u30a4\u30e9\u30fc\u30b7\u30ea\u30fc\u30ba\u3067\u3059\u3002\u307e\u305f\u3001\u3088\u308a\u9ad8\u3044\u30a8\u30e9\u30fc\u9806\u5e8f\u3092\u6301\u3064\u9055\u3044\u306e\u5546\u3082\u3042\u308a\u307e\u3059\u3002 \u305f\u3068\u3048\u3070\u30012\u756a\u76ee\u306e\u6d3e\u751f\u306e\u5834\u5408\u3001\u63a5\u7d9a\u306f \u03942y\u0394x2\uff1a= yi+1\u22122yi+yi\u22121\u0394x2= f(x+\u0394x)\u22122f(x)+f(x\u2212\u0394x)\u0394x2= f \u300c \uff08 \u30d0\u30c4 \uff09\uff09 + O\uff08 d \u30d0\u30c4 2\uff09\uff09 {displaystyle {frac {delta^{2} y} {delta x^{2}}}}}\uff1a= {y_ {i+1} -2y_ {i}+y_ {i-1}} {delta x^{2}}}} = {frac x+ff\uff08ff\uff08x+ff\uff08x+ff\uff08f\uff09{frac\uff09 x\uff09} {delta x^{2}}} = f ”\uff08x\uff09+{mathcal {o}}\uff08delta x^{2}\uff09} \u5229\u7528\u3055\u308c\u308b\u3002\u5f8c\u308d\u306e o {displaystyle {mathcal {o}}}  – \u4f55\u304b\u3089\u3082\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059 \u30d0\u30c4 {displaystyle x} \u4f9d\u5b58\u3059\u308b\u3002\u4ee5\u4e0b\u306e\u8868\u306b\u306f\u3001\u3088\u308a\u9ad8\u3044\u6d3e\u751f\u898f\u5236\u306e\u3044\u304f\u3064\u304b\u306e\u901a\u5e38\u306e\u4e2d\u5fc3\u7684\u306a\u9055\u3044\u306e\u5546\u304c\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u6a5f\u80fd\u9806\u5e8f\u306e\u6a5f\u80fd\u7684\u4fa1\u5024\u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u3068\u3044\u3046\u4e8b\u5b9f \u3068 \u79c1 {displaystyle y_ {i}} \u5229\u7528\u3067\u304d\u307e\u305b\u3093\u3002\u4e2d\u592e\u5dee\u5206\u5546\u306e\u539f\u5247\u306b\u623b\u308a\u3001\u5e73\u5747\u306b\u3088\u3063\u3066\u30a8\u30e9\u30fc\u9806\u5e8f\u304c\u5897\u52a0\u3057\u307e\u3059\u3002\u307e\u3063\u3059\u3050\u306a\u6d3e\u751f\u898f\u5236\u3092\u5099\u3048\u305f\u5dee\u984d\u9805\u76ee\u306f\u3001\u6700\u5c0f\u9650\u306e\u30a8\u30e9\u30fc\u9806\u5e8f\u3067\u3053\u3053\u306b\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u3055\u3089\u306b\u6a5f\u80fd\u7684\u306a\u5024\u3092\u8ffd\u52a0\u3059\u308b\u3053\u3068\u3067\u5897\u3084\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u518d\u5e30\u65b9\u7a0b\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3088\u308a\u9ad8\u3044\u901a\u5e38\u306e\u4e2d\u5fc3\u5dee\u5206\u306e\u8a08\u7b97\u306f\u3001\u5f8c\u7d9a\u306e\u518d\u5e30\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002\u8868\u73fe \u79c1 {displaystyle i} \u30ed\u30fc\u30ab\u30eb\u5ea7\u6a19\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9 \u30d0\u30c4 \u79c1 {displaystyle x_ {i}} \u3068 n {displaystyle n} \u73fe\u5728\u306e\u6d3e\u751f\u898f\u5236\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3002\u305d\u308c\u3067\u306f\u59cb\u307e\u308a\u307e\u3059 n = \u521d\u3081 {displaystyle n = 1} \u305d\u306e\u7d50\u679c\u3001ODD\u306e\u518d\u5e30\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3057\u307e\u3059 n {displaystyle n} \u3002 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