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Question 2: Numerical solution of heat equation using explicit finite difference method Write down the formula of explicit finite-difference method for solving heat equation. Solve the following problems. (a) (b) Problem 1: Heat equation Given the heat equation du 6 d²u π Ox² ôt with conditions u(0,1)=20r, u(2,1)= 10², 1>0 u(x,0)= x(2-x), 0≤x≤2 By taking Ax = h = 0.5 and Ar= k = 0.05, solve the heat equation using explicit finite difference method up to second level.

Question 2: Numerical solution of heat equation using explicit finite difference method Write down the formula of explicit finite-difference method for solving heat equation. Solve the following problems. (a) (b) Problem 1: Heat equation Given the heat equation du 6 d²u π Ox² ôt with conditions u(0,1)=20r, u(2,1)= 10², 1>0 u(x,0)= x(2-x), 0≤x≤2 By taking Ax = h = 0.5 and Ar= k = 0.05, solve the heat equation using explicit finite difference method up to second level.

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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Question 2: Numerical solution of heat equation using explicit finite difference method Write down the formula of explicit finite-difference method for solving heat equation. Solve the following problems. (a) (b) Problem 1: Heat equation Given the heat equation du 6 d²u π Ox² ôt with conditions u(0,1)=201, u(2,t) = 10², 1>0 u(x,0)= x(2-x), 0≤x≤2 By taking Ax = h = 0.5 and Ar= k = 0.05, solve the heat equation using explicit finite difference method up to second level.
Transcribed Image Text:Question 2: Numerical solution of heat equation using explicit finite difference method Write down the formula of explicit finite-difference method for solving heat equation. Solve the following problems. (a) (b) Problem 1: Heat equation Given the heat equation du 6 d²u π Ox² ôt with conditions u(0,1)=201, u(2,t) = 10², 1>0 u(x,0)= x(2-x), 0≤x≤2 By taking Ax = h = 0.5 and Ar= k = 0.05, solve the heat equation using explicit finite difference method up to second level.
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