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Zbl 1181.80002
Bokhari, Ashfaque H.; Mohammad, Ghulam; Mustafa, M.T.; Zaman, F.D.
Adomian decomposition method for a nonlinear heat equation with temperature dependent thermal properties. (English)
[J] Math. Probl. Eng. 2009, Article ID 926086, 12 p. (2009). ISSN 1024-123X; ISSN 1563-5147/e

Summary: The solutions of nonlinear heat equations with temperature dependent diffusivity are investigated using the modified Adomian decomposition method. An 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.

MSC 2000:: *80A20 Heat and mass transfer
80M25 Other numerical methods

Keywords: series approximation

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