Question 2: Numerical solution of heat equation using explicit finite difference method (a) Write down the formula of explicit finite-difference method for solving heat equation. (b) Solve the following problems. Problem 1: Heat equation Given the heat equation du 6 d'u ôt nex² with conditions u(0,1)=20r, u(2,t) = 10t², 1>0 0≤x≤2 u(x,0)=x(2-x), 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 (a) Write down the formula of explicit finite-difference method for solving heat equation. (b) Solve the following problems. Problem 1: Heat equation Given the heat equation du 6 d'u ôt nex² with conditions u(0,1)=20r, u(2,t) = 10t², 1>0 0≤x≤2 u(x,0)=x(2-x), By taking Ax = h = 0.5 and Ar= k = 0.05, solve the heat equation using explicit finite difference method up to second level.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.21P
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