( , - ) . () (1)-(2) () i+1 , .. , , , , , (). (i+1) - : (17).
, . y(xi+1), -, - (11), (12), (13), (14) - (17), (18), (19), (20).
- :
( - )
(21)
y(xi+1). , - (21).
, (21) - (10), - (16), ( (3) ). , h , , (10) (16), . , (i+1), - , y(xi+1):
(22)
(23)
, f(x, ()) . 1 ( h f(xj,yj)), -, y(xi+1), -, .
, (22) (23) :
(23),
|
|
(24)
(24) .
:
ε (i:=i+1), h
(24) :
(25)
, , (25) .
1. (24) , - , .. (20). - (21) , . (24) (21) , - . , , , -.