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Write implicit finite difference approximation to the following heat problem. Use first order approxi- mation for the boundary conditions. ut — kuxx = 0, for 0 < x < 1, u(x, 0) = 0; ut (x, 0) = 0, u(0,t) = 0; uz(1,t)=t. (6) (7) (8)

Write implicit finite difference approximation to the following heat problem. Use first order approxi- mation for the boundary conditions. ut — kuxx = 0, for 0 < x < 1, u(x, 0) = 0; ut (x, 0) = 0, u(0,t) = 0; uz(1,t)=t. (6) (7) (8)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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Write implicit finite difference approximation to the following heat problem. Use first order approxi- mation for the boundary conditions. - kurz Ut - = 0, for 0 < x < 1, u(x, 0) = 0; ut (x, 0) = 0, u(0, t) = 0; ux (1, t) = t. (6) (7)
Transcribed Image Text:Write implicit finite difference approximation to the following heat problem. Use first order approxi- mation for the boundary conditions. - kurz Ut - = 0, for 0 < x < 1, u(x, 0) = 0; ut (x, 0) = 0, u(0, t) = 0; ux (1, t) = t. (6) (7)
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