Solving Partial Integro-Differential Equations via Double Formable Transform
In this study, we present a new double integral transform called the double formable transform. Several properties and theorems related to existing conditions, partial derivatives, the double convolution theorem, and others are presented. Additionally, we use a convolution kernel to solve linear par...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Applied Computational Intelligence and Soft Computing |
| Online Access: | http://dx.doi.org/10.1155/2022/6280736 |
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| _version_ | 1832558573191692288 |
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| author | Bayan Ghazal Rania Saadeh Abdelilah K. Sedeeg |
| author_facet | Bayan Ghazal Rania Saadeh Abdelilah K. Sedeeg |
| author_sort | Bayan Ghazal |
| collection | DOAJ |
| description | In this study, we present a new double integral transform called the double formable transform. Several properties and theorems related to existing conditions, partial derivatives, the double convolution theorem, and others are presented. Additionally, we use a convolution kernel to solve linear partial integro-differential equations (PIDE) by using the double formable transform. By solving numerous cases, the double formable transform’s ability to turn the PIDE into an algebraic equation that is simple to solve is demonstrated. |
| format | Article |
| id | doaj-art-27a361819b9f469c89030f2765805621 |
| institution | Kabale University |
| issn | 1687-9732 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied Computational Intelligence and Soft Computing |
| spelling | doaj-art-27a361819b9f469c89030f27658056212025-02-03T01:32:02ZengWileyApplied Computational Intelligence and Soft Computing1687-97322022-01-01202210.1155/2022/6280736Solving Partial Integro-Differential Equations via Double Formable TransformBayan Ghazal0Rania Saadeh1Abdelilah K. Sedeeg2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this study, we present a new double integral transform called the double formable transform. Several properties and theorems related to existing conditions, partial derivatives, the double convolution theorem, and others are presented. Additionally, we use a convolution kernel to solve linear partial integro-differential equations (PIDE) by using the double formable transform. By solving numerous cases, the double formable transform’s ability to turn the PIDE into an algebraic equation that is simple to solve is demonstrated.http://dx.doi.org/10.1155/2022/6280736 |
| spellingShingle | Bayan Ghazal Rania Saadeh Abdelilah K. Sedeeg Solving Partial Integro-Differential Equations via Double Formable Transform Applied Computational Intelligence and Soft Computing |
| title | Solving Partial Integro-Differential Equations via Double Formable Transform |
| title_full | Solving Partial Integro-Differential Equations via Double Formable Transform |
| title_fullStr | Solving Partial Integro-Differential Equations via Double Formable Transform |
| title_full_unstemmed | Solving Partial Integro-Differential Equations via Double Formable Transform |
| title_short | Solving Partial Integro-Differential Equations via Double Formable Transform |
| title_sort | solving partial integro differential equations via double formable transform |
| url | http://dx.doi.org/10.1155/2022/6280736 |
| work_keys_str_mv | AT bayanghazal solvingpartialintegrodifferentialequationsviadoubleformabletransform AT raniasaadeh solvingpartialintegrodifferentialequationsviadoubleformabletransform AT abdelilahksedeeg solvingpartialintegrodifferentialequationsviadoubleformabletransform |