Comparing numerical methods for the solutions of two-dimensional diffusion with an integral condition

Ishak Hashim

doi:10.1016/j.amc.2006.02.013

Comparing numerical methods for the solutions of two-dimensional diffusion with an integral condition

Ishak Hashim

Universiti Kebangsaan Malaysia

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

14 Scopus citations

Abstract

In this paper, we present a numerical comparison between the Adomian decomposition method (ADM) and a fourth-order explicit finite-difference method for solving two-dimensional diffusion problems with an integral condition. The numerical results show that the ADM is quite accurate and easily implemented.

Original language	English
Pages (from-to)	880-885
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	181
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.02.013
State	Published - 15 Oct 2006
Externally published	Yes

Keywords

Adomian decomposition method
Non-classical boundary conditions
Parabolic PDEs

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10.1016/j.amc.2006.02.013

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title = "Comparing numerical methods for the solutions of two-dimensional diffusion with an integral condition",

abstract = "In this paper, we present a numerical comparison between the Adomian decomposition method (ADM) and a fourth-order explicit finite-difference method for solving two-dimensional diffusion problems with an integral condition. The numerical results show that the ADM is quite accurate and easily implemented.",

keywords = "Adomian decomposition method, Non-classical boundary conditions, Parabolic PDEs",

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AB - In this paper, we present a numerical comparison between the Adomian decomposition method (ADM) and a fourth-order explicit finite-difference method for solving two-dimensional diffusion problems with an integral condition. The numerical results show that the ADM is quite accurate and easily implemented.

KW - Adomian decomposition method

KW - Non-classical boundary conditions

KW - Parabolic PDEs

UR - https://www.scopus.com/pages/publications/33750465852

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JO - Applied Mathematics and Computation

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Comparing numerical methods for the solutions of two-dimensional diffusion with an integral condition

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Keywords

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