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Adomian decomposition method for a nonlinear heat equation with temperature dependent thermal properties. (English) Zbl 1181.80002
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:
80A20Heat and mass transfer, heat flow
80M25Other numerical methods (thermodynamics)