Application of the Galerkin and Collocation methods to solve a one-dimensional heat conduction problem -- from Wolfram Library Archive

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Title

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

Downloads

ramirez411.nb (79.3 KB) - Mathematica Notebook [for Mathematica 5.2]

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