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.

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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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