I need help on solving non-linear heat equation with boundary conditions.
This is MATLAB code for (ut=uxx ) on {0,1} where u(x,t)=sin(2pi*x)exp[-(2 pi).^2]*t, I.C: u(x,t) = sin(2pi*x); B.C: u(0,t) = u(1,t) =0; L=1; n=1; t_final =0.1; N = 32; %elements dx...
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For 1D heat equation, discretization of its vector ODE by Runge-Kutta would be stable than backward Euler?
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What is its effect on simulation results?
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What is its effect on simulation results if solving Parabolic Heat Equation with Heat source?
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What is its effect on simulation results if Galerkin method is applied to solve Parabolic Heat Equation with source terms.
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