An iterative approach using Sawi transform for fractional telegraph equation in diversified dimensions
In the present study, 1D, 2D, and 3D fractional hyperbolic telegraph equations in Caputo sense have been solved using an iterative method using Sawi transform. These equations serve as a model for signal analysis of electrical impulse transmission and propagation. Along with a table of Sawi transfor...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-04-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2022-0285 |
| _version_ | 1797815454318723072 |
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| author | Kapoor Mamta Khosla Samanyu |
| author_facet | Kapoor Mamta Khosla Samanyu |
| author_sort | Kapoor Mamta |
| collection | DOAJ |
| description | In the present study, 1D, 2D, and 3D fractional hyperbolic telegraph equations in Caputo sense have been solved using an iterative method using Sawi transform. These equations serve as a model for signal analysis of electrical impulse transmission and propagation. Along with a table of Sawi transform of some popular functions, some helpful results on Sawi transform are provided. To demonstrate the effectiveness of the suggested method, five examples in 1D, one example in 2D, and one example in 3D are solved using the proposed scheme. Error analysis comparing approximate and exact solutions using graphs and tables has been provided. The proposed scheme is robust, effective, and easy to implement and can be implemented on variety of fractional partial differential equations to obtain precise series approximations. |
| first_indexed | 2024-03-13T08:22:56Z |
| format | Article |
| id | doaj.art-ac1c352fc29a45c9b7ef3793934e6b20 |
| institution | Directory Open Access Journal |
| issn | 2192-8029 |
| language | English |
| last_indexed | 2024-03-13T08:22:56Z |
| publishDate | 2023-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-ac1c352fc29a45c9b7ef3793934e6b202023-05-31T06:55:53ZengDe GruyterNonlinear Engineering2192-80292023-04-01121301210.1515/nleng-2022-0285An iterative approach using Sawi transform for fractional telegraph equation in diversified dimensionsKapoor Mamta0Khosla Samanyu1Department of Mathematics, Lovely Professional University, Phagwara, Punjab, 144411IndiaDepartment of Mathematics, Lovely Professional University, Phagwara, Punjab, 144411IndiaIn the present study, 1D, 2D, and 3D fractional hyperbolic telegraph equations in Caputo sense have been solved using an iterative method using Sawi transform. These equations serve as a model for signal analysis of electrical impulse transmission and propagation. Along with a table of Sawi transform of some popular functions, some helpful results on Sawi transform are provided. To demonstrate the effectiveness of the suggested method, five examples in 1D, one example in 2D, and one example in 3D are solved using the proposed scheme. Error analysis comparing approximate and exact solutions using graphs and tables has been provided. The proposed scheme is robust, effective, and easy to implement and can be implemented on variety of fractional partial differential equations to obtain precise series approximations.https://doi.org/10.1515/nleng-2022-0285caputo derivativefractional hyperbolic telegraph equationsawi transform |
| spellingShingle | Kapoor Mamta Khosla Samanyu An iterative approach using Sawi transform for fractional telegraph equation in diversified dimensions Nonlinear Engineering caputo derivative fractional hyperbolic telegraph equation sawi transform |
| title | An iterative approach using Sawi transform for fractional telegraph equation in diversified dimensions |
| title_full | An iterative approach using Sawi transform for fractional telegraph equation in diversified dimensions |
| title_fullStr | An iterative approach using Sawi transform for fractional telegraph equation in diversified dimensions |
| title_full_unstemmed | An iterative approach using Sawi transform for fractional telegraph equation in diversified dimensions |
| title_short | An iterative approach using Sawi transform for fractional telegraph equation in diversified dimensions |
| title_sort | iterative approach using sawi transform for fractional telegraph equation in diversified dimensions |
| topic | caputo derivative fractional hyperbolic telegraph equation sawi transform |
| url | https://doi.org/10.1515/nleng-2022-0285 |
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