·¢²¼Ê±¼ä : ÐÇÆÚËÄ ÎÄÕ½ªÆôÔ´¡¶ÊýѧģÐÍ¡·µÚÈý°æ¿Î¼þch7 - ͼÎĸüÐÂÍê±Ï¿ªÊ¼ÔĶÁ
µÚÆßÕ²î·Ö·½³ÌÄ£ÐÍ
7.1 Êг¡¾¼ÃÖеÄÖëÍøÄ£ÐÍ7.2 ¼õ·Ê¼Æ»®¡ª¡ª½ÚʳÓëÔ˶¯7.3 ²î·ÖÐÎʽµÄ×èÖÍÔö³¤Ä£ÐÍ7.4 °´ÄêÁä·Ö×éµÄÖÖȺÔö³¤7.1 Êг¡¾¼ÃÖеÄÖëÍøÄ£ÐÍ
¹©´óÓÚÇó¼Û¸ñϽµÊýÁ¿Óë¼Û¸ñÔÚÕñµ´
Ôö¼Ó²úÁ¿¼Û¸ñÉÏÕǹ©²»Ó¦Çó¼õÉÙ²úÁ¿ÏÖÏó
ÎÊÌâ
ÃèÊöÉÌÆ·ÊýÁ¿Óë¼Û¸ñµÄ±ä»¯¹æÂÉ
ÉÌÆ·ÊýÁ¿Óë¼Û¸ñµÄÕñµ´ÔÚʲôÌõ¼þÏÂÇ÷ÏòÎȶ¨
µ±²»Îȶ¨Ê±Õþ¸®ÄܲÉȡʲô¸ÉÔ¤ÊÖ¶Îʹ֮Îȶ¨
ÖëÍøÄ£ÐÍ
xk~µÚkʱ¶ÎÉÌÆ·ÊýÁ¿£»yk~µÚkʱ¶ÎÉÌÆ·¼Û¸ñ
Ïû·ÑÕßµÄÐèÇó¹ØϵÉú²úÕߵĹ©Ó¦¹Øϵyy00ÐèÇóº¯Êý
yk?f(xk)¼õº¯Êý
¹©Ó¦º¯Êýxk?1?h(yk)Ôöº¯Êý
yk?g(xk?1)fgP0x0
fÓëgµÄ½»µãP0(x0,y0) ~ ƽºâµãÒ»µ©xk=x0£¬Ôòyk=y0,
xxk+1,xk+2,¡=x0, yk+1,yk+2, ¡=y0
ÖëÍøÄ£ÐÍyk?f(xk)xk?1?h(yk)Éèx1Æ«Àëx0
yk?g(xk?1)x1?y1?x2?y2?x3??xk??x0,yk??y0P0ÊDz»Îȶ¨Æ½ºâµã
y
P3fP0P1x0
xxk?x0,yk?y0P0ÊÇÎȶ¨Æ½ºâµã
yy2y0
y3y10fgP4P0?P2?P3???P?P2?P3???P0P?P011P3P2ÇúÏßбÂÊKf?KgP1x1
xgP4y00P2Kf?Kgx2x0x3