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Solution of Unsteady Heat Conduction in an Insulated Rod using the Orthogonal Collocation Method
Author

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Revision date

2004-06-07
Description

The notebook computes the first and second derivative matrices using shifted Legendre polynomials (Finlayson, The method of Weighted Residuals and Variational Principles, Academic Press, 1972). The second derivative matrix is then used to solve the unsteady heat conduction in a rod problem (Ramirez, Computational Methods for Process Simulation, 2nd Edition, Butterworth-Heinemann,1997). Finally, the temperature profile is compared to the solution of the diffusion equation using NDSolve.
Subjects

*Engineering > Chemical Engineering
*Engineering > Mechanical and Structural Engineering
*Mathematics > Calculus and Analysis > Differential Equations
*Science > Chemistry
Keywords

Orthogonal collocation, PDE, heat transfer, diffusion equation, unsteady heat conduction in a rod, Shifted Legendre polynomials
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Othog-Collocation7points.nb (85.5 KB) - Mathematica Notebook [for Mathematica 5.0]