将区域[ab进行分划: x0=a,x=a+jh,j=1,2,…,N b h a称为步长 v( =yx)+ f(,y(x)dx y(x,)+hf(s,y(s) y(x)+∑bf(x+c,y(x+c)
1 1 ( ) ( ) ( , ( )) ( ) ( , ( )) i i x i i x i y x y x f x y x dx y x hf y + + = + + 1 ( ) ( , ( )) n i j i j i j j y x h b f x c h y x c h = + + + 1 1 n j j b = = 将区域[a,b]进行分划： 0 , , 1,2,..., . x a x a jh j N j b a h N = = + = − = 称为步长
若 k,=f(x, +Ch, y(x; +ch)af(x, y(l,)) k2=f(x+C2h,y(x+C2h)≈f(x,y(x), k,=f(x ; +c,h,y(x, +ch)sf(,,y(x) 则
若则 1 1 1 2 2 2 ( , ( )) ( , ( )), ( , ( )) ( , ( )), ...... ( , ( )) ( , ( )). i i i i i i i i n i n i n i i k f x c h y x c h f x y x k f x c h y x c h f x y x k f x c h y x c h f x y x = + + = + + = + +