- Question 3 25 Marks Differential Equation Is Given As Dx2d2u X 10 X 1 U 0 0u 1 1 And The Trial Functions Are N1 X 1 (47.85 KiB) Viewed 50 times
QUESTION 3 [25 Marks] Differential equation is given as dx2d2u−x=10≤x≤1 u(0)=0u(1)=1 And the trial functions are N1(x
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QUESTION 3 [25 Marks] Differential equation is given as dx2d2u−x=10≤x≤1 u(0)=0u(1)=1 And the trial functions are N1(x
QUESTION 3 [25 Marks] Differential equation is given as dx2d2u−x=10≤x≤1 u(0)=0u(1)=1 And the trial functions are N1(x)=x2−xN2(x)=x3−x By using the Galerkin's method of weighted residuals and the specified trial functions, determine: i) one-term approximate solution [10 Marks] ii) two-term approximate solution [10 Marks] iii) how can we improve the accuracy? [5 Marks] [CO2, PO2,C6]