Consider the boundary-value problem. y" - xy = 1, y (0) = 1, 0≤x≤ 1 y(1) = 0. Use the linear finite difference method (y" ~ +¹−2+¹) to solve this BVP with h = (Round to 4- decimal places) h²
Consider the boundary-value problem. y" - xy = 1, y (0) = 1, 0≤x≤ 1 y(1) = 0. Use the linear finite difference method (y" ~ +¹−2+¹) to solve this BVP with h = (Round to 4- decimal places) h²
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the boundary-value problem.
y" - xy = 1,
y(0) = 1,
Use the linear finite difference method (y" ~
decimal places)
0≤x≤ 1
y(1) = 0.
Yi+1-2yi+yi-¹) to solve this BVP with h =
h²
(Round to 4-
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