SOLVING COUPLED PSEUDO-PARABOLIC EQUATION USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (1): 333-346.

SOLVING COUPLED PSEUDO-PARABOLIC EQUATION USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD

Hassan Eltayeb GADAIN

Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia

收稿日期:2016-08-02 修回日期:2017-10-17 出版日期:2018-02-25 发布日期:2018-02-25
作者简介:Hassan Eltayeb GADAIN,E-mail:hgadain@ksu.edu.sa

SOLVING COUPLED PSEUDO-PARABOLIC EQUATION USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD

Hassan Eltayeb GADAIN

Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia

Received:2016-08-02 Revised:2017-10-17 Online:2018-02-25 Published:2018-02-25

摘要/Abstract

摘要： In this paper, the modification of double Laplace decomposition method is proposed for the analytical approximation solution of a coupled system of pseudo-parabolic equation with initial conditions. Some examples are given to support our presented method. In addition, we prove the convergence of double Laplace transform decomposition method applied to our problems.

关键词: double Laplace transform, inverse double Laplace transform, singular parabolic equation, coupled pseudo-parabolic equation, single Laplace transform, decomposition methods

Abstract: In this paper, the modification of double Laplace decomposition method is proposed for the analytical approximation solution of a coupled system of pseudo-parabolic equation with initial conditions. Some examples are given to support our presented method. In addition, we prove the convergence of double Laplace transform decomposition method applied to our problems.

Key words: double Laplace transform, inverse double Laplace transform, singular parabolic equation, coupled pseudo-parabolic equation, single Laplace transform, decomposition methods

Hassan Eltayeb GADAIN. SOLVING COUPLED PSEUDO-PARABOLIC EQUATION USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD[J]. 数学物理学报(英文版), 2018, 38(1): 333-346.

Hassan Eltayeb GADAIN. SOLVING COUPLED PSEUDO-PARABOLIC EQUATION USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD[J]. Acta mathematica scientia,Series B, 2018, 38(1): 333-346.

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SOLVING COUPLED PSEUDO-PARABOLIC EQUATION USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD

SOLVING COUPLED PSEUDO-PARABOLIC EQUATION USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD

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