Adomian Decomposition Method for a Nonlinear Heat Equation with Temperature Dependent Thermal Properties

The solutions of nonlinear heat equation with temperature dependent diffusivity are investigated using the modified Adomian decomposition method. Analysis of the method and examples are given to show that the Adomian series solution gives an excellent approximation to the exact solution. This accura...

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Bibliographic Details
Published in:Mathematical Problems in Engineering 2009-01, Vol.2009 (1)
Main Authors: Bokhari, Ashfaque H., Mohammad, Ghulam, Mustafa, M. T., Zaman, F. D.
Format: Article
Language:English
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Summary:The solutions of nonlinear heat equation with temperature dependent diffusivity are investigated using the modified Adomian decomposition method. Analysis of the method and examples are given to show that the Adomian series solution gives an excellent approximation to the exact solution. This accuracy can be increased by increasing the number of terms in the series expansion. The Adomian solutions are presented in some situations of interest.
ISSN:1024-123X
1563-5147
DOI:10.1155/2009/926086