{"id":517,"date":"2025-03-01T20:44:06","date_gmt":"2025-03-01T11:44:06","guid":{"rendered":"https:\/\/www.flumen-jp.com\/wordpress\/?p=517"},"modified":"2026-04-17T03:14:09","modified_gmt":"2026-04-16T18:14:09","slug":"ekdahl","status":"publish","type":"post","link":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/2025\/03\/01\/ekdahl\/","title":{"rendered":"Ekdahl \u306e\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u3000\u6cb3\u5ddd\u8a08\u753b\u6751\u3067\u306f\u8caf\u7559\u65b9\u7a0b\u5f0f<\/p>\n\n\n\n<p>$$<br>\\frac{\\mbox{d}H}{\\mbox{d}t} = \\frac{I &#8211; O}{A}\\,,\\quad<br>A = \\frac{\\mbox{d}V}{\\mbox{d}H}<br>$$<\/p>\n\n\n\n<p>\u306e\u6570\u5024\u89e3\u6cd5\u3068\u3057\u3066\u6b21\u306e Ekdahl \u306e\u65b9\u6cd5\u304c\u4f1d\u7d71\u7684\u306b\u7528\u3044\u3089\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>$$<br>C_2 \\equiv \\frac{V_2}{\\Delta t} + \\frac{O_2}{2} = \\frac{I_1 + I_2}{2} + C_1 &#8211; O_1<br>$$<\/p>\n\n\n\n<p>\u3000\u3067\u300c\u30a8\u30af\u30c0\u30fc\u30eb\u306e\u65b9\u6cd5\u300d\u3067\u30b0\u30b0\u308b\u3068\u3001\u30d2\u30c3\u30c8\u3059\u308b\u30b3\u30f3\u30c6\u30f3\u30c4\u306f\u6751\u306e\u3082\u306e\u3060\u3051\u3067\u4e00\u822c\u7684\u306a\u6570\u5b66\u306e\u8a71\u984c\u3068\u3057\u3066\u306a\u4f55\u3082\u51fa\u3066\u3053\u306a\u3044\u3002\u3064\u307e\u308a\u3001\u6751\u306e\u5e38\u8b58\u3068\u4e16\u9593\u4e00\u822c\u306e\u305d\u308c\u3068\u3067\u306f\u5927\u304d\u304f\u4e56\u96e2\u3057\u3066\u3044\u308b\u3002<br>\u3000\u4e16\u9593\u3067\u306f\u300c\u53e4\u5178\u7684\u30eb\u30f3\u30b2\u30fb\u30af\u30c3\u30bf\u6cd5\u300d\u304c\u4ee3\u8868\u7684\u306a\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u89e3\u6cd5\u3068\u3057\u3066\u4f7f\u7528\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{align*}<br>y(x + h) &amp;= y(x) + \\frac{h}{6} (k_1 + 2 k_2 + 2 k_3 + k_4) \\\\<br>k_1 &amp;= f(x, y) \\\\<br>k_2 &amp;= f(x + \\frac{h}{2}, y + h \\frac{k_1}{2}) \\\\<br>k_3 &amp;= f(x + \\frac{h}{2}, y + h \\frac{k_2}{2}) \\\\<br>k_4 &amp;= f(x + h, y + h k_3)<br>\\end{align*}<br>$$<\/p>\n\n\n\n<p>\u3000\u4e0a\u306e\u8caf\u7559\u65b9\u7a0b\u5f0f\u3067\u306f \\( x = t \\) \u3001\\( y = H \\) \u3001\\( h = \\Delta t \\) \u3068\u7f6e\u304d\u63db\u3048\u3066<\/p>\n\n\n\n<p>$$<br>f(x,y) = \\frac{I(x) &#8211; O(y)}{A(y)}<br>$$<\/p>\n\n\n\n<p>\u3067\u3042\u308b\u3002 \u53cd\u5fa9\u8a08\u7b97\u3092\u4f34\u3046 Ekdahl \u306e\u65b9\u6cd5\u306b\u304f\u3089\u3079\u3066\u8a08\u7b97\u91cf\u304c\u6fc0\u6e1b\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u3000Ekdahl \u306e\u65b9\u6cd5\u306f\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u304c\u8d85\u9ad8\u5dba\u306e\u82b1\u306e\u6642\u4ee3\u306b\u7528\u3044\u3089\u308c\u3066\u3044\u305f<strong>\u56f3\u89e3\u6cd5<\/strong>\uff08\u3042\u3089\u304b\u3058\u3081 \\( H\\sim V\\sim C\\) \u306e\u6570\u8868\u3092\u7528\u610f\uff09\u3067\u3001\u4eca\u66f4\u3001\u7a4d\u6975\u7684\u306b\u7528\u3044\u308b\u7406\u7531\u306f\u5168\u304f\u306a\u3044\u3002\u7aef\u7684\u306b\u8a00\u3063\u3066\u6570\u5024\u89e3\u306e\u7cbe\u5ea6\u3082\u4f4e\u3044\uff08\u53e4\u5178\u7684\u30eb\u30f3\u30b2\u30fb\u30af\u30c3\u30bf\u6cd5\u304c 4 \u6b21\u7cbe\u5ea6\u3067\u3042\u308b\u306e\u306b\u5bfe\u3057\u3066\u3001Ekdahl \u306e\u65b9\u6cd5\u306f\u9670\u89e3\u6cd5\u3067\u306f\u3042\u308b\u3082\u306e\u306e\u6642\u9593\u5909\u5316\u3092 1 \u6b21\u5dee\u5206\u3067\u8868\u3057\u3066\u3044\u308b\u306e\u3067 1 \u6b21\u7cbe\u5ea6\uff09\u3002<br>\u3000\u3068\u3044\u3046\u8a33\u3067\u56e0\u7fd2\u306f\u65e9\u3005\u306b\u5ec3\u6b62\u3057\u3088\u3046\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3000\u6cb3\u5ddd\u8a08\u753b\u6751\u3067\u306f\u8caf\u7559\u65b9\u7a0b\u5f0f $$\\frac{\\mbox{d}H}{\\mbox{d}t} = \\frac{I &#8211; O}{A}\\,,\\quadA = \\frac{\\mbox{d}V}{\\mbox{d}H}$$ \u306e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[45],"class_list":["post-517","post","type-post","status-publish","format-standard","hentry","category-it","tag-math"],"_links":{"self":[{"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/posts\/517","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/comments?post=517"}],"version-history":[{"count":11,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/posts\/517\/revisions"}],"predecessor-version":[{"id":530,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/posts\/517\/revisions\/530"}],"wp:attachment":[{"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/media?parent=517"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/categories?post=517"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/tags?post=517"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}