Adapting partial differential equations via the modified double ARA-Sumudu decomposition method
In order to get analytical series solutions of partial differential equations while taking certain conditions into consideration, this paper presents the new procedure of using the new double ARA-Sumudu transform (DARA-ST) in conjunction with the modified decomposition method in handling nonlinear e...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818123000529 |
| _version_ | 1797390348089032704 |
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| author | Rania Saadeh Shams A. Ahmed Ahmad Qazza Tarig M. Elzaki |
| author_facet | Rania Saadeh Shams A. Ahmed Ahmad Qazza Tarig M. Elzaki |
| author_sort | Rania Saadeh |
| collection | DOAJ |
| description | In order to get analytical series solutions of partial differential equations while taking certain conditions into consideration, this paper presents the new procedure of using the new double ARA-Sumudu transform (DARA-ST) in conjunction with the modified decomposition method in handling nonlinear equations. The solutions of the nonlinear terms in these equations are obtained depending on defining series of iterations. The suggested method has the merits of producing accurate answers and it is simply analytically applicable to the provided problems. Moreover, fundamental theorems and properties of DARA-ST are proposed. Numerical examples are provided to show how this strategy might be used and how beneficial it is. The obtained results demonstrate the method’s potential for resolving further nonlinear problems and getting exact solutions. |
| first_indexed | 2024-03-08T23:10:25Z |
| format | Article |
| id | doaj.art-716d3c1d78c84987a1160eb5bb8e1629 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-03-08T23:10:25Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-716d3c1d78c84987a1160eb5bb8e16292023-12-15T07:26:43ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812023-12-018100539Adapting partial differential equations via the modified double ARA-Sumudu decomposition methodRania Saadeh0Shams A. Ahmed1Ahmad Qazza2Tarig M. Elzaki3Department of Mathematics, Zarqa University, Zarqa 13110, Jordan; Corresponding author.Department of Mathematic, Faculty of Sciences and Arts, Jouf University, Tubarjal 74756, Saudi Arabia; Department of Mathematic, University of Gezira, Wad Madani 21111, SudanDepartment of Mathematics, Zarqa University, Zarqa 13110, JordanMathematics Department, College of Science and Arts, AlKamel, University of Jeddah, Saudi ArabiaIn order to get analytical series solutions of partial differential equations while taking certain conditions into consideration, this paper presents the new procedure of using the new double ARA-Sumudu transform (DARA-ST) in conjunction with the modified decomposition method in handling nonlinear equations. The solutions of the nonlinear terms in these equations are obtained depending on defining series of iterations. The suggested method has the merits of producing accurate answers and it is simply analytically applicable to the provided problems. Moreover, fundamental theorems and properties of DARA-ST are proposed. Numerical examples are provided to show how this strategy might be used and how beneficial it is. The obtained results demonstrate the method’s potential for resolving further nonlinear problems and getting exact solutions.http://www.sciencedirect.com/science/article/pii/S2666818123000529ARA transformNonlinear partial differential equationsSumudu transformDouble ARA-Sumudu transformModified decomposition method |
| spellingShingle | Rania Saadeh Shams A. Ahmed Ahmad Qazza Tarig M. Elzaki Adapting partial differential equations via the modified double ARA-Sumudu decomposition method Partial Differential Equations in Applied Mathematics ARA transform Nonlinear partial differential equations Sumudu transform Double ARA-Sumudu transform Modified decomposition method |
| title | Adapting partial differential equations via the modified double ARA-Sumudu decomposition method |
| title_full | Adapting partial differential equations via the modified double ARA-Sumudu decomposition method |
| title_fullStr | Adapting partial differential equations via the modified double ARA-Sumudu decomposition method |
| title_full_unstemmed | Adapting partial differential equations via the modified double ARA-Sumudu decomposition method |
| title_short | Adapting partial differential equations via the modified double ARA-Sumudu decomposition method |
| title_sort | adapting partial differential equations via the modified double ara sumudu decomposition method |
| topic | ARA transform Nonlinear partial differential equations Sumudu transform Double ARA-Sumudu transform Modified decomposition method |
| url | http://www.sciencedirect.com/science/article/pii/S2666818123000529 |
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