Find the approximate solution of the equation Uxx = 4u; by Crank- Nicolson method subject to u(x, 0) = 0, iɖ0, t) = 0 and u(2, t) =2t for three-time steps given that Ax= Ay= 0.25.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the approximate solution of the equation Uxx = 4ụ; by Crank-
Nicolson method subject to u(x, 0) = 0, u(0, t) = 0 and u(2, t) =2t for
three-time steps given that Ax= Ay= 0.25.
Transcribed Image Text:Find the approximate solution of the equation Uxx = 4ụ; by Crank- Nicolson method subject to u(x, 0) = 0, u(0, t) = 0 and u(2, t) =2t for three-time steps given that Ax= Ay= 0.25.
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