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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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. |
format | Article |
id | doaj-art-71cad07e07af4cf59e33802096dd9281 |
institution | Kabale University |
issn | 2314-8896 2314-8888 |
language | English |
publishDate | 2021-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces |
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 |
work_keys_str_mv | AT hassaneltayeb threedimensionallaplaceadomiandecompositionmethodandsingularpseudoparabolicequations AT diaaeldinelgezouli threedimensionallaplaceadomiandecompositionmethodandsingularpseudoparabolicequations AT ademkilicman threedimensionallaplaceadomiandecompositionmethodandsingularpseudoparabolicequations AT imedbachar threedimensionallaplaceadomiandecompositionmethodandsingularpseudoparabolicequations |