CLC number: TP391
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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INC Mustafa. Decomposition method for solving parabolic equations in finite domains[J]. Journal of Zhejiang University Science A, 2005, 6(10): 1058-1064.
@article{title="Decomposition method for solving parabolic equations in finite domains",
author="INC Mustafa",
journal="Journal of Zhejiang University Science A",
volume="6",
number="10",
pages="1058-1064",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A1058"
}
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%T Decomposition method for solving parabolic equations in finite domains
%A INC Mustafa
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%P 1058-1064
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A1058
TY - JOUR
T1 - Decomposition method for solving parabolic equations in finite domains
A1 - INC Mustafa
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 10
SP - 1058
EP - 1064
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.A1058
Abstract: This paper presents a comparison among adomian decomposition method (ADM), Wavelet-Galerkin method (WGM), the fully explicit (1,7) finite difference technique (FTCS), the fully implicit (7,1) finite difference method (BTCS), (7,7) Crank-Nicholson type finite difference formula (C-N), the fully explicit method (1,13) and 9-point finite difference method, for solving parabolic differential equations with arbitrary boundary conditions and based on weak form functionals in finite domains. The problem is solved rapidly, easily and elegantly by ADM. The numerical results on a 2D transient heat conducting problem and 3D diffusion problem are used to validate the proposed ADM as an effective numerical method for solving finite domain parabolic equations. The numerical results showed that our present method is less time consuming and is easier to use than other methods. In addition, we prove the convergence of this method when it is applied to the nonlinear parabolic equation.
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Open peer comments: Debate/Discuss/Question/Opinion
<1>
Naftali Indongo@Research<naftalindeapo@gmail.com>
2014-08-30 20:42:55
Would love to use it as a reference to my thesis
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2012-02-24 01:24:40
to review the article
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2011-07-05 15:52:04
I will like to receive/see the full article pls.
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2010-11-07 01:02:10
Please let me recieve the full text of this paper
thanks
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2010-10-04 14:10:13
to review the article