Differential equation is given as And the trial functions are d²u dx² u(0)=0 u(1) = 1 --x=1 N₁(x)=x²-x N₂(x)=x²-x i) one-term approximate solution By using the Galerkin's method of weighted residuals and the specified trial functions, determine: ii) two-term approximate solution 0≤x≤1 iii) how can we improve the accuracy?
Differential equation is given as And the trial functions are d²u dx² u(0)=0 u(1) = 1 --x=1 N₁(x)=x²-x N₂(x)=x²-x i) one-term approximate solution By using the Galerkin's method of weighted residuals and the specified trial functions, determine: ii) two-term approximate solution 0≤x≤1 iii) how can we improve the accuracy?
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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