3 蟷ｳ陦｡轤ｹ隗｣譫�

2髫弱�蟶ｸ蠕ｮ蛻�婿遞句ｼ上�豁｣隕丞ｽ｢縺ｯ谺｡縺ｮ蠑上〒險倩ｿｰ縺輔ｌ繧�:

$\begin{displaymath} \begin{array}{rcl} \displaystyle \frac{dx}{dt} & = & f_1(x,... ...ip1ex} \displaystyle \frac{dy}{dt} & = & f_2(x, y) \end{array}\end{displaymath}$

(3.3)

縺�∪�後％縺ｮ邉ｻ(3)縺碁撼邱壼ｽ｢蟶ｸ蠕ｮ蛻�婿遞句ｼ上〒險倩ｿｰ縺輔ｌ縺ｦ縺�◆縺ｨ縺吶ｋ�主ｼ�(3)縺ｮ蜿ｳ霎ｺ縺ｫ�梧凾髢馴未謨ｰ縺後↑縺��ｴ蜷医ｒ閾ｪ蠕狗ｳｻ縺ｨ縺�≧�取凾髢灘ｾｮ蛻��鬆�ｒ 0縺ｨ縺翫＞縺滓婿遞句ｼ�:

$\begin{displaymath} \begin{array}{rcl} f_1(x, y) = 0\\ f_2(x, y) = 0 \end{array}\end{displaymath}$

(3.4)

縺ｯ�檎ｳｻ(3)縺ｮ蟷ｳ陦｡轤ｹ縺ｮ蠎ｧ讓吶ｒ荳弱∴繧具ｼ� 繧ゅ＠蟷ｳ陦｡轤ｹ縺悟ｮ牙ｮ壹〒縺ゅｌ縺ｰ�後◎縺ｮ霑大ｍ繧貞�譛溷､縺ｨ縺吶ｋ隗｣霆碁％縺ｯ�� 驕取ｸ｡蠢懃ｭ斐′邨ゅ▲縺溷ｾ後↓縺昴�轤ｹ縺ｫ關ｽ縺｡逹縺上〒縺ゅｍ縺�ｼ�

縺薙�蟷ｳ陦｡轤ｹ縺後←縺ｮ繧医≧縺ｪ諤ｧ雉ｪ繧呈戟縺､縺九ｒ隱ｿ縺ｹ繧九↓縺ｯ��蟷ｳ陦｡轤ｹ縺ｮ螳牙ｮ壽ｧ縺ｫ逹逶ｮ縺吶ｌ縺ｰ繧医＞�弱☆縺ｪ繧上■�悟ｹｳ陦｡轤ｹ縺ｮ霑大ｍ縺ｫ縺翫＞縺ｦ�悟ｹｳ陦｡轤ｹ縺ｮ霑大ｍ繧貞�譛溷､縺ｨ縺吶ｋ霆碁％縺鯉ｼ悟ｹｳ陦｡轤ｹ縺ｫ蟇ｾ縺励※縺ｩ縺�険闊槭≧縺九ｒ隱ｿ縺ｹ繧具ｼ� 譎る俣縺ｮ逋ｺ螻輔↓蠢懊§縺ｦ�瑚ｻ碁％縺悟ｹｳ陦｡轤ｹ縺ｫ貍ｸ霑代＠縺ｦ縺�￠縺ｰ�後◎縺ｮ蟷ｳ陦｡轤ｹ縺ｯ螳牙ｮ壹□縺ｨ縺ｨ縺�∴繧九□繧阪≧�弱％縺ｮ螳牙ｮ壽ｧ縺ｮ蛻､蛻･縺ｯ�� 蠑�(3)繧� Taylor 螻暮幕縺励◆縺ｨ縺搾ｼ後◎縺ｮ1谺｡縺ｮ鬆��菫よ焚陦悟�縺ｧ縺ゅｋ Jacobi陦悟�縺ｮ蝗ｺ譛牙､繧呈ｱゅａ繧句撫鬘後↓蟶ｰ逹縺輔ｌ繧具ｼ守ｬｬ6 遽繧貞盾辣ｧ��

縺輔※�檎ｳｻ(3)縺ｫ蜻ｨ譛溷､門鴨縺悟刈繧上▲縺溷�ｴ蜷茨ｼ� 縺吶↑繧上■邉ｻ(2)繧定�∴繧医≧�� 螳滄圀縺ｫ Runge-Kutta 縺ｪ縺ｩ縺ｮ謨ｰ蛟､遨榊�繧堤畑縺�※霆碁％繧呈緒縺九＠縺ｦ縺ｿ繧医≧�� 邉ｻ縺ｮ繝代Λ繝｡繝ｼ繧ｿ繧抵ｼ後〒縺阪ｋ縺�縺醍ｷ壼ｽ｢縺ｫ霑代＞迥ｶ諷九↓縺励※縺翫″�� 莉ｻ諢上�蛻晄悄蛟､縺九ｉ蜃ｺ逋ｺ縺励◆隗｣縺鯉ｼ碁℃貂｡蠢懃ｭ斐ｒ邨ゅ∴�悟ｮ牙ｮ壼ｹｳ陦｡轤ｹ縺ｫ關ｽ縺｡逹縺�※縺�ｋ迥ｶ諷� 縺ｫ繧ｻ繝�ヨ縺吶ｋ�弱％縺ｮ迥ｶ諷九〒豁｣蠑ｦ豕｢繧貞�蜉帙＠�後◎縺ｮ謖ｯ蟷�ｒ蠕舌�↓螟ｧ縺阪￥縺吶ｋ縺ｨ�� 螳牙ｮ壼ｹｳ陦｡轤ｹ縺ｾ繧上ｊ縺ｫ蜻ｨ譛溯ｧ｣縺檎匱逕溘☆繧具ｼ� 縺薙�蜻ｨ譛溯ｧ｣縺ｯ螟門鴨縺ｮ蜻ｨ譛溘↓蜷梧悄縺励◆霆碁％繧呈緒縺上〒縺ゅｍ縺�ｼ� 縺薙�縺ｨ縺搾ｼ檎ｳｻ(3)縺ｮ蜿ｳ霎ｺ縺ｫ縺ｯ譎る俣髢｢謨ｰ縺悟刈繧上ｊ�� 髱櫁�蠕狗ｳｻ縺ｨ縺ｪ繧具ｼ�

縺､縺弱↓邉ｻ縺ｮ繝代Λ繝｡繝ｼ繧ｿ繧貞ｾ舌�↓螟峨∴縺ｦ縺�￥縺ｨ�瑚ｧ｣霆碁％縺檎ｪ∝ｦょ､ｧ縺阪＞謖ｯ蟷��霆碁％縺ｫ螟牙喧縺吶ｋ縺薙→縺後≠繧具ｼ弱∪縺滂ｼ瑚ｻ碁％縺�2驥阪↓繝繝悶ｊ縺ｯ縺倥ａ縺溘ｊ�� 繧ｫ繧ｪ繧ｹ迥ｶ諷九→蜻ｼ縺ｰ繧後ｋ隍�尅縺ｪ謖ｯ蜍輔′隕九ｉ繧後◆繧翫→�� 縺輔∪縺悶∪縺ｪ螂�ｦ吶↑迴ｾ雎｡縺檎函縺倥ｋ�弱％繧後ｉ縺ｮ迴ｾ雎｡繧抵ｼ悟捉譛溯ｧ｣縺ｮ蛻�ｲ千樟雎｡縺ｨ縺�≧�� 莉･荳九〒縺ｯ�悟捉譛溷､門鴨縺ｮ謖√▽諤ｧ雉ｪ繧貞茜逕ｨ縺励※�梧婿遞句ｼ上ｒ隗｣譫舌�螳ｹ譏薙↑蠖｢縺ｫ螟画鋤縺吶ｋ蜀吝ワ繧定�∴繧具ｼ�

User & 2017-09-07