dy = r+ y – ry dr with y(0) = 1 in order to find y(0.3) correct to four decimal places. Assuming that the local error in RK2 is given by y"(€), § E [ri, Ti+1]; Ei+1 = estimate an upper bound for the global error at z = 0.3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5b

(b) The Runge-Kutta method of order 2 (RK2) with h = 0.1 is used to solve
dy
= x + y – xy
dr
with y(0) = 1 in order to find y(0.3) correct to four decimal places. Assuming
that the local error in RK2 is given by
h3
y"(E), E E [ri, T;+1],
Ei+1
estimate an upper bound for the global error at x =
= 0.3.
Transcribed Image Text:(b) The Runge-Kutta method of order 2 (RK2) with h = 0.1 is used to solve dy = x + y – xy dr with y(0) = 1 in order to find y(0.3) correct to four decimal places. Assuming that the local error in RK2 is given by h3 y"(E), E E [ri, T;+1], Ei+1 estimate an upper bound for the global error at x = = 0.3.
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