HELP WITH MATLAB ENGINEERING PROJECT (SAMPLE ASSIGNMENT)
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Inhomogeneous Heat Equation on a Square Domain
This sample assignment shows how to solve the heat equations with a source term using
the parabolic function in the Partial Differential Equation Toolbox™.
The specific heat equation is
pdemesh(p,e,t); axis equal
Generate Initial Conditions
The discontinuous initial value is 1 inside the circle of radius 0.4 and zero outside.
Generate Time Discretization
We want the solution at 20 points in time between 0 and 0.1.
Find FEM Solution
75 successful steps
1 failed attempts
154 function evaluations
1 partial derivatives
17 LU decompositions
153 solutions of linear systems
Plot FEM Solution
To speed up the plotting, we interpolate to a rectangular grid.
axis([-1 1 -1 1 0 1]);
Mv(j) = getframe;
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