Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations

In this work, the solution of the linear, nonlinear, and coupled system fractional singular two-dimensional pseudoparabolic equation is examined by using a three-dimensional Laplace Adomian decomposition method (3-DLADM). Analysis of the method is discussed, and some demonstrative examples are menti...

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Main Authors: Hassan Eltayeb, Diaa Eldin Elgezouli, Adem Kilicman, Imed Bachar
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5563013
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author Hassan Eltayeb
Diaa Eldin Elgezouli
Adem Kilicman
Imed Bachar
author_facet Hassan Eltayeb
Diaa Eldin Elgezouli
Adem Kilicman
Imed Bachar
author_sort Hassan Eltayeb
collection DOAJ
description In this work, the solution of the linear, nonlinear, and coupled system fractional singular two-dimensional pseudoparabolic equation is examined by using a three-dimensional Laplace Adomian decomposition method (3-DLADM). Analysis of the method is discussed, and some demonstrative examples are mentioned to confirm the power and accuracy of the recommended method, and numerical analysis is applied to sketch the exact and approximate solution.
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institution Kabale University
issn 2314-8896
2314-8888
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publishDate 2021-01-01
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spelling doaj-art-71cad07e07af4cf59e33802096dd92812025-02-03T01:20:44ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55630135563013Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic EquationsHassan Eltayeb0Diaa Eldin Elgezouli1Adem Kilicman2Imed Bachar3Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaMathematics Department, Sudan University of Science and Technology, SudanDepartment of Mathematics, University Putra Malaysia, 43400 Serdang, Selangor, MalaysiaMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn this work, the solution of the linear, nonlinear, and coupled system fractional singular two-dimensional pseudoparabolic equation is examined by using a three-dimensional Laplace Adomian decomposition method (3-DLADM). Analysis of the method is discussed, and some demonstrative examples are mentioned to confirm the power and accuracy of the recommended method, and numerical analysis is applied to sketch the exact and approximate solution.http://dx.doi.org/10.1155/2021/5563013
spellingShingle Hassan Eltayeb
Diaa Eldin Elgezouli
Adem Kilicman
Imed Bachar
Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations
Journal of Function Spaces
title Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations
title_full Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations
title_fullStr Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations
title_full_unstemmed Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations
title_short Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations
title_sort three dimensional laplace adomian decomposition method and singular pseudoparabolic equations
url http://dx.doi.org/10.1155/2021/5563013
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