甯稿井鍒嗘柟绋嬬殑杈瑰�奸棶棰樺拰鏈緛鍊奸棶棰?/p>
涓�銆侀棶棰樻弿杩?/p>
鍒╃敤鎼滅储娉曞拰寮﹀壊娉曪紝寰楀埌璇ュ父寰垎鏂圭▼鐨勬湰寰佸�硷紝鍐嶅埄鐢ㄦ墦闈舵硶璁＄畻澶氫釜鏈緛鍊笺�?/p>
浜屻�佽В鍐虫柟娉?/p>
锛堜竴锛夋悳绱㈡硶
1.
鍏堥殢渚跨寽娴?/p>
k
鐨勪竴涓瘯楠屽�?/p>
,
绋嬪簭涓护
k=1
2.
鐢?/p>
Numerov
绠楁硶
鏍规嵁鏈鐨勬潯浠讹紝
kn+1=kn=kn-1=k,s=0,
寰楀埌
yn+2,yn+1,yn
闂寸殑杩唬鍏紡
浠?/p>
con=(k*h)^2/12
yn+2=2*(1-5*con)*yn+1/(1+con)-yn
3
鑷繁缁欏畾
蠁
鐨勫垵濮嬫潯浠讹紝鐒跺悗鍒╃敤鍏紡寰楀埌杈圭晫鍊?/p>
蠁
(1)
4.
鐒跺悗浠ュ皬鐨勬闀?/p>
dk
澧炲姞
k
鍊硷紝杩欓噷浠?/p>
dk=1,
姣忓綋
蠁
(1)
鏀瑰彉绗﹀彿鏃讹紝灏卞皢姝ラ暱鍑忓崐鍚庡�掗��鍥?/p>
鏉ラ噸澶?/p>
5.
褰撴闀垮皬浜庢墍瑕佹眰鐨勫璁歌宸椂缁堟绋嬪簭锛屾鏃剁殑
k
鍊煎嵆涓烘墍姹傘�?/p>
锛堜簩锛夊鸡鍓叉硶
1.
闅忎究鐚滄祴涓や釜
k
鍊硷紝杩欓噷浠?/p>
k0=1,k1=2
2.
鑷繁缁欏畾
蠁
鐨勫垵濮嬫潯浠讹紝瀵逛袱涓?/p>
k
鍊煎垎鍒埄鐢ㄤ笂杩板叕寮忚繘琛岃凯浠ｏ紝寰楀埌杈圭晫鍊?/p>
y1(1)
鍜?/p>
y2(1)
銆?/p>
3.
姣旇緝
y1(1)
鍜?/p>
y2(1)
鐨勭粷瀵瑰�煎ぇ灏忋�傝嫢缁濆鍊煎ぇ锛岃鏄庡搴旂殑
k
鍊艰窛绂绘湰寰佸�艰窛绂昏緝杩溿�?/p>
4.
灏嗭紙
k0+k1
锛?/p>
/2
璧嬬粰
k2,
杈圭晫鍊肩粷瀵瑰�煎皬鐨勫搴旂殑
k
鍊间繚鎸佷笉鍙橈紝杈圭晫鍊肩粷瀵瑰�煎ぇ鐨勫搴?/p>
k
鍊奸噸鏂板畾浣?/p>
k2
鐨勫�笺�?/p>
5.
閲嶅杩涜瀹為獙锛屽綋
y1(1)
鍜?/p>
y(2)
鐨勫樊鐨勭粷瀵瑰�煎皬浜庡璁歌宸椂缁堟绋嬪簭銆傛鏃?/p>
k1
鐨勫�煎嵆
涓烘墍姹傘�?/p>
褰撴悳绱㈡硶鍜屽鸡鍓叉硶澶ц嚧姹傚嚭浜嗕竴涓湰寰佸�煎悗锛?/p>
鍒╃敤鎵撻澏娉曪紝
璋冩暣
k
鍊煎啀搴﹁繘琛屾悳绱紝
寰楀埌澶?/p>
涓湰寰佸�硷紝缁樺嚭鍏朵腑涓�涓湰寰佸�煎搴旂殑鍑芥暟鍥惧儚锛岃瀵熷叾鎬ц川銆?/p>
涓夈�佺▼搴忓疄鐜?/p>
1.
鎼滅储娉?/p>
subroutine
add(t,y0,y1)
!
鍒╃敤瀛愮▼搴忚〃绀哄嚱鏁板�肩殑杩唬
implicit none
real
(8)::t,h,con,y0,y1,y2