(b) Given the second order boundary value problem y" +4y= sinx, y(0) = 0, y(1) = 0. (i) By taking h=0.25, approximate y(0.25), y(0.5) and y(0.75) by finite difference method. Please give your answer in three decimal places. (ii) If the exact solution of the problem is y(x)=- the absolute errors of your calculations. sin (1) 3 sin (2) 1 -sin 2x+-sinx, find 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(b)
Given the second order boundary value problem
y" + 4y = sinx,
y(0) = 0,
(i)
(11)
y(1) = 0.
By taking h=0.25, approximate y(0.25), y(0.5) and y(0.75) by finite
difference method. Please give your answer in three decimal places.
If the exact solution of the problem is y(x) =
the absolute errors of your calculations.
sin (1)
3 sin (2)
1
-sin 2x+-sin x, find
3
Transcribed Image Text:(b) Given the second order boundary value problem y" + 4y = sinx, y(0) = 0, (i) (11) y(1) = 0. By taking h=0.25, approximate y(0.25), y(0.5) and y(0.75) by finite difference method. Please give your answer in three decimal places. If the exact solution of the problem is y(x) = the absolute errors of your calculations. sin (1) 3 sin (2) 1 -sin 2x+-sin x, find 3
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