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Use of NDSolve and Laplace Transform to Solve Heat Conduction Problems

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
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In the present notebook three methods are used to solve a heat conduction problem. This problem is given in M. N. Özisik, Heat Conduction, Wiley, New York, 1980. We use NDSolve, short times solution based on analytical inversion of a Laplace transform and finally a numerical solution based on the Fourier series approximation method of Laplace transform inversion. All results are plotted on the same graph and exhibit perfect agreement.

*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering

NDSolve, heat conduction problems, short times solution, Laplace transform, Fourier series approximation
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ozisik285.nb (122.5 KB) - Mathematica Notebook [for Mathematica 5.2]