Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform)
The primary purpose of this research is to demonstrate an efficient new double transform mentioned since the double Laplace - Sumudu transform (DLST) solve partial differential equations. The theorems handling fashionable properties of the double Laplace - Sumudu transform are proved, the convolutio...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447921001556 |
| _version_ | 1819006515343785984 |
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| author | Shams A. Ahmed Tarig M. Elzaki Mohamed Elbadri Mohamed Z. Mohamed |
| author_facet | Shams A. Ahmed Tarig M. Elzaki Mohamed Elbadri Mohamed Z. Mohamed |
| author_sort | Shams A. Ahmed |
| collection | DOAJ |
| description | The primary purpose of this research is to demonstrate an efficient new double transform mentioned since the double Laplace - Sumudu transform (DLST) solve partial differential equations. The theorems handling fashionable properties of the double Laplace - Sumudu transform are proved, the convolution theorem with evidence is mentioned, then, via the usage of these outcomes the solution of partial differential equations is made. The results showed that the double Laplace - Sumudu transform was more efficient and useful to handle such these kinds of equations. |
| first_indexed | 2024-12-21T00:09:55Z |
| format | Article |
| id | doaj.art-65451d896937493fac324838e718e788 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-21T00:09:55Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-65451d896937493fac324838e718e7882022-12-21T19:22:23ZengElsevierAin Shams Engineering Journal2090-44792021-12-0112440454049Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform)Shams A. Ahmed0Tarig M. Elzaki1Mohamed Elbadri2Mohamed Z. Mohamed3Department of Mathematic, Faculty of Sciences and Arts, Jouf University, Tubarjal, Saudi Arabia; Department of Mathematic, University of Gezira, Sudan; Corresponding author.Department of Mathematic, Faculty of Sciences and Arts, Alkamil, Jeddah, University of Jeddah, Saudi ArabiaDepartment of Mathematic, Faculty of Sciences and Arts, Jouf University, Tubarjal, Saudi Arabia; Department of Mathematic, University of Gezira, SudanDepartment of Mathematic, Deanship of Preparatory Programs, University of Hail, Saudi ArabiaThe primary purpose of this research is to demonstrate an efficient new double transform mentioned since the double Laplace - Sumudu transform (DLST) solve partial differential equations. The theorems handling fashionable properties of the double Laplace - Sumudu transform are proved, the convolution theorem with evidence is mentioned, then, via the usage of these outcomes the solution of partial differential equations is made. The results showed that the double Laplace - Sumudu transform was more efficient and useful to handle such these kinds of equations.http://www.sciencedirect.com/science/article/pii/S2090447921001556Double Laplace– Sumudu transformSingle Laplace transformSingle Sumudu transformPartial differential equations |
| spellingShingle | Shams A. Ahmed Tarig M. Elzaki Mohamed Elbadri Mohamed Z. Mohamed Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform) Ain Shams Engineering Journal Double Laplace– Sumudu transform Single Laplace transform Single Sumudu transform Partial differential equations |
| title | Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform) |
| title_full | Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform) |
| title_fullStr | Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform) |
| title_full_unstemmed | Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform) |
| title_short | Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform) |
| title_sort | solution of partial differential equations by new double integral transform laplace sumudu transform |
| topic | Double Laplace– Sumudu transform Single Laplace transform Single Sumudu transform Partial differential equations |
| url | http://www.sciencedirect.com/science/article/pii/S2090447921001556 |
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