A computational approach for fractional convection-diffusion equation via integral transforms
In this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which describes the flow of heat. These proposed techn...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-12-01
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| Series: | Ain Shams Engineering Journal |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447916300533 |
| _version_ | 1818647201683865600 |
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| author | Jagdev Singh Ram Swroop Devendra Kumar |
| author_facet | Jagdev Singh Ram Swroop Devendra Kumar |
| author_sort | Jagdev Singh |
| collection | DOAJ |
| description | In this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which describes the flow of heat. These proposed techniques introduce significance in the field over the existing techniques that make them computationally very attractive for applications. Numerical solutions clearly demonstrate the reliability and efficiency of HATM and HPSTM to solve strongly nonlinear fractional problems. Keywords: Homotopy analysis transform method, Homotopy perturbation method, Sumudu transform, Laplace transform, Fractional convection-diffusion equation, ℏ-curve |
| first_indexed | 2024-12-17T00:58:46Z |
| format | Article |
| id | doaj.art-1502381fb75a4e559dbd2dc43529f1bc |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-17T00:58:46Z |
| publishDate | 2018-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-1502381fb75a4e559dbd2dc43529f1bc2022-12-21T22:09:31ZengElsevierAin Shams Engineering Journal2090-44792018-12-019410191028A computational approach for fractional convection-diffusion equation via integral transformsJagdev Singh0Ram Swroop1Devendra Kumar2Department of Mathematics, Jagan Nath University, Jaipur 303901, Rajasthan, IndiaDepartment of Mathematics, Arya Institute of Engineering & Technology, RIICO Kukas, Jaipur 303101, Rajasthan, India; Corresponding author. Tel.: +91 9460254205.Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, IndiaIn this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which describes the flow of heat. These proposed techniques introduce significance in the field over the existing techniques that make them computationally very attractive for applications. Numerical solutions clearly demonstrate the reliability and efficiency of HATM and HPSTM to solve strongly nonlinear fractional problems. Keywords: Homotopy analysis transform method, Homotopy perturbation method, Sumudu transform, Laplace transform, Fractional convection-diffusion equation, ℏ-curvehttp://www.sciencedirect.com/science/article/pii/S2090447916300533 |
| spellingShingle | Jagdev Singh Ram Swroop Devendra Kumar A computational approach for fractional convection-diffusion equation via integral transforms Ain Shams Engineering Journal |
| title | A computational approach for fractional convection-diffusion equation via integral transforms |
| title_full | A computational approach for fractional convection-diffusion equation via integral transforms |
| title_fullStr | A computational approach for fractional convection-diffusion equation via integral transforms |
| title_full_unstemmed | A computational approach for fractional convection-diffusion equation via integral transforms |
| title_short | A computational approach for fractional convection-diffusion equation via integral transforms |
| title_sort | computational approach for fractional convection diffusion equation via integral transforms |
| url | http://www.sciencedirect.com/science/article/pii/S2090447916300533 |
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