{"id":4595,"date":"2024-12-03T13:54:38","date_gmt":"2024-12-03T04:54:38","guid":{"rendered":"https:\/\/www.ktech.biz\/jp\/?p=4595"},"modified":"2024-12-03T13:54:38","modified_gmt":"2024-12-03T04:54:38","slug":"xlpack-solver-ode2","status":"publish","type":"post","link":"https:\/\/www.ktech.biz\/jp\/document\/xlpack-solver-ode2\/","title":{"rendered":"XLPack \u30bd\u30eb\u30d0\u30fc 2\u968e\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f"},"content":{"rendered":"

2 \u968e\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u521d\u671f\u5024\u554f\u984c\u306e\u89e3\u3092\u6c42\u3081\u307e\u3059.<\/p>\n

d2y1\/dt2 = -y1\/r, d2y2\/dt2 = -y2\/r (\u305f\u3060\u3057, r = (y1^2 + y2^2)^(3\/2))
\n\u521d\u671f\u5024\u306f, t0 = 0 \u306b\u304a\u3044\u3066 y1 = 1, y2 = 0, dy1\/dt = 0, dy2\/dt = sqrt(3)<\/p>\n

\u3092\u89e3\u304f\u4f8b\u3092\u793a\u3057\u307e\u3059. \u5f93\u5c5e\u5909\u6570\u304c2\u3064\u3067\u65b9\u7a0b\u5f0f\u304c2\u672c\u306e2\u968e\u9023\u7acb\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u4f8b\u306b\u306a\u308a\u307e\u3059.<\/p>\n

\u72ec\u7acb\u5909\u6570(t)\u30bb\u30eb(\u3053\u306e\u5834\u5408B8)\u304a\u3088\u3073\u5f93\u5c5e\u5909\u6570(yi)\u30bb\u30eb(\u3053\u306e\u5834\u5408B9\uff5eB10)\u306b\u306f\u30d7\u30ed\u30b0\u30e9\u30e0\u304c\u305d\u308c\u305e\u308c\u306e\u5024\u3092\u66f8\u304d\u8fbc\u307f\u307e\u3059. \u5fae\u5206\u5f0f(dyi\/dt)\u30bb\u30eb(\u3053\u306e\u5834\u5408B13\uff5eB14)\u306b\u306ft\u304a\u3088\u3073yi\u3088\u308ad2y1\/dt2\u304a\u3088\u3073d2y2\/dt2\u3092\u6c42\u3081\u308b\u6570\u5f0f\u3092\u5165\u529b\u3057\u3066\u304a\u304d\u307e\u3059. \u3053\u306e\u5834\u5408, B13\u306f =-B9*(B9^2+B10^2)^(-3\/2), B14\u306f\u00a0=-B10*(B9^2+B10^2)^(-3\/2) \u3068\u3057\u307e\u3059.<\/p>\n

\u521d\u671f\u5024\u304a\u3088\u3073\u51fa\u529b\u30bb\u30eb\u7bc4\u56f2(\u3053\u306e\u5834\u5408D8:H28)\u306e\u5404\u884c\u306e1\u5217\u76ee\u306bt\u3092\u5165\u529b\u3057\u307e\u3059. 1\u884c\u76ee\u306b\u306f\u521d\u671f\u5024(\u3053\u306e\u5834\u5408 t0, t0\u306b\u304a\u3051\u308by1, y2, dy1\/dt, dy2\/dt)\u3092\u5165\u529b\u3057\u3066\u304a\u304d\u307e\u3059.\u300c\u8a08\u7b97\u958b\u59cb\u300d\u3092\u30af\u30ea\u30c3\u30af\u3059\u308b\u3068, \u5404\u884c\u306et\u306b\u304a\u3051\u308by1, y2, dy1\/dt, dy2\/dt\u3092\u6c42\u30812\u5217\u76ee\u4ee5\u964d\u306b\u51fa\u529b\u3057\u307e\u3059. \u6307\u5b9a\u3057\u305f\u7bc4\u56f2\u5185\u3067\u3042\u3063\u3066\u3082t\u304c\u7a7a\u767d\u306e\u884c\u306b\u51fa\u4f1a\u3046\u3068\u8a08\u7b97\u3092\u7d42\u4e86\u3057\u307e\u3059.<\/p>\n

\u4f7f\u7528\u3059\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u306f Dopn43, Dopn64, Dopn86 \u307e\u305f\u306f Dopn1210 \u304b\u3089\u9078\u3076\u3053\u3068\u304c\u3067\u304d\u307e\u3059.<\/p>\n

\u8a08\u7b97\u7cbe\u5ea6\u306e\u6a19\u6e96\u5024\u306f 1.0e-8 \u3067\u3059. \u5404\u30eb\u30fc\u30c1\u30f3\u306eRTol\u304a\u3088\u3073ATol\u306b\u3053\u308c\u3092\u8a2d\u5b9a\u3057\u307e\u3059.<\/p>\n

\u305d\u308c\u305e\u308c\u306e\u30bb\u30eb\u7bc4\u56f2\u306f\u5fc5\u8981\u306a\u7bc4\u56f2\u3088\u308a\u3082\u5927\u304d\u304f\u6307\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d, \u305d\u306e\u5834\u5408\u306b\u306f\u5de6\u4e0a\u304b\u3089\u5fc5\u8981\u306a\u3060\u3051\u306e\u5927\u304d\u3055\u306e\u7bc4\u56f2\u3092\u4f7f\u3044\u307e\u3059.<\/p>\n

\"\"<\/p>\n

\u300c\u4fdd\u5b58\uff0f\u8aad\u8fbc\u300d\u306b\u3064\u3044\u3066\u306f\u3053\u3061\u3089<\/a>\u3092\u53c2\u7167\u304f\u3060\u3055\u3044.<\/p>\n

\u300c\u30d8\u30eb\u30d7\u300d\u3092\u30af\u30ea\u30c3\u30af\u3059\u308b\u3068\u30cd\u30c3\u30c8\u63a5\u7d9a\u4e2d\u3067\u3042\u308c\u3070\u3053\u306e\u30da\u30fc\u30b8\u3092\u8868\u793a\u3057\u307e\u3059.<\/p>\n

\u53f3\u4e0a\u306e\u300c\uff1f\u300d\u306f\u6b63\u3057\u304f\u52d5\u4f5c\u3057\u307e\u305b\u3093. \u300c\u30d8\u30eb\u30d7\u300d\u30dc\u30bf\u30f3\u3092\u4f7f\u7528\u3057\u3066\u304f\u3060\u3055\u3044.<\/p>\n","protected":false},"excerpt":{"rendered":"

2 \u968e\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u521d\u671f\u5024\u554f\u984c\u306e\u89e3\u3092\u6c42\u3081\u307e\u3059. d2y1\/dt2 = -y1\/r, d2y2\/dt2 = -y2\/r (\u305f\u3060\u3057, r = (y1^2 + y2^2)^(3\/2)) \u521d\u671f\u5024\u306f, t0 = 0 \u306b\u304a\u3044\u3066 y1 […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[14],"tags":[],"class_list":["post-4595","post","type-post","status-publish","format-standard","hentry","category-document"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts\/4595","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/comments?post=4595"}],"version-history":[{"count":1,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts\/4595\/revisions"}],"predecessor-version":[{"id":4596,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts\/4595\/revisions\/4596"}],"wp:attachment":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/media?parent=4595"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/categories?post=4595"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/tags?post=4595"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}