Page 202 - Schaum's Outline of Differential Equations

CHAP. 19] NUMERICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS 185

Table 19-5

Method: RUNGE-KUTTA METHOD

2
Problem: / = y + 1 ; >>(0) = 0
h = 0.l True solution
x n
y n Y(x) = tan x
0.0 0.0000000 0.0000000
0.1 0.1003346 0.1003347

0.2 0.2027099 0.2027100

0.3 0.3093360 0.3093363
0.4 0.4227930 0.4227932
0.5 0.5463023 0.5463025

0.6 0.6841368 0.6841368

0.7 0.8422886 0.8422884
0.8 1.0296391 1.0296386
0.9 1.2601588 1.2601582

1.0 1.5574064 1.5574077

Continuing in this manner we generate Table 19-6.