Adomian decomposition method for a nonlinear heat equation with temperature dependent thermal properties

M. T. Mustafa; Ashfaque H. Bokhari; Ghulam Mohammad; F. D. Zaman

doi:10.1155/2009/926086

Adomian decomposition method for a nonlinear heat equation with temperature dependent thermal properties

M. T. Mustafa
, Ashfaque H. Bokhari
, Ghulam Mohammad
, F. D. Zaman

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

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.

Original language	English
Article number	926086
Journal	Mathematical Problems in Engineering
Volume	2009
DOIs	https://doi.org/10.1155/2009/926086
State	Published - 2009

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1155/2009/926086

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title = "Adomian decomposition method for a nonlinear heat equation with temperature dependent thermal properties",

abstract = "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.",

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AU - Mohammad, Ghulam

AU - Zaman, F. D.

PY - 2009

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AB - 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.

UR - https://www.scopus.com/pages/publications/70449360206

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DO - 10.1155/2009/926086

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VL - 2009

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

M1 - 926086

ER -

Adomian decomposition method for a nonlinear heat equation with temperature dependent thermal properties

Abstract

ASJC Scopus subject areas

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