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Application of the Galerkin and Collocation methods to solve a one-dimensional heat conduction problem
Author

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

2006-10-19
Description

This problem was presented in the excellent book by W. F. Ramirez, Computational Methods for Process Simulation, Second Edition, 1997, Butterworth Heinemann, Oxford. Here, we extend the author’s work by considering second order Galerkin and Collocation methods to solve a one-dimensional heat conduction problem. The heat conductivity is considered as a linear function of temperature. Numerical solutions are compared to the exact solution. We find perfect agreement between the three methods.
Subjects

*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering
Keywords

Galerkin method, collocation method, one-dimensional heat conduction, variable heat conductivity, second order methods
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ramirez411.nb (79.3 KB) - Mathematica Notebook [for Mathematica 5.2]