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Example 4.14. Set up the Numerical Method for solving the following PDE and complete the table below:: U - 5ux = 0 u(0, t) = 0 u(1, t) = 0 u(x,0) = x²(x – 1) (0 0) %3D t2 = 0.1 t = 0.05 %3D to = 0 t/x XO = 0 X1 = 0.25 X2 = 0.5 X3 = 0.75 X4 = 1

Example 4.14. Set up the Numerical Method for solving the following PDE and complete the table below:: U - 5ux = 0 u(0, t) = 0 u(1, t) = 0 u(x,0) = x²(x – 1) (0 0) %3D t2 = 0.1 t = 0.05 %3D to = 0 t/x XO = 0 X1 = 0.25 X2 = 0.5 X3 = 0.75 X4 = 1

Advanced Engineering Mathematics
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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Example 4.14. Set up the Numerical Method for solving the following PDE and complete the table below:: U - 5ux = 0 (0 <x< 1) (t > 0) u(0, t) = 0 u(1, t) = 0 u(x,0) = x2(x – 1) t2 = 0.1 t1 = 0.05 to = 0 t / x Xo = 0 X1 = 0.25 X2 = 0.5 X3 = 0.75 X4 = 1
Transcribed Image Text:Example 4.14. Set up the Numerical Method for solving the following PDE and complete the table below:: U - 5ux = 0 (0 <x< 1) (t > 0) u(0, t) = 0 u(1, t) = 0 u(x,0) = x2(x – 1) t2 = 0.1 t1 = 0.05 to = 0 t / x Xo = 0 X1 = 0.25 X2 = 0.5 X3 = 0.75 X4 = 1
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