Page 201 - Schaum's Outline of Differential Equations

184 NUMERICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS [CHAP. 19

Continuing in this manner, we generate Table 19-5.

19.7. Use the Adams-Bashforth-Moulton method to solve / = y - x; y(0) = 2 on the interval [0,1] with h = 0.1.
f
Here (x, y) = y — x, X Q = 0, and y Q = 2. Using Table 19-3, we find the three additional starting values to be
y 1 = 2.2051708, y 2 = 2.4214026, and y 3 = 2.6498585. Thus,

Then, using Eqs. (19.6), beginning with n = 3, and Eq. (19.3), we compute