Fractional view evaluation system of Schrödinger-KdV equation by a comparative analysis
The time-fractional coupled Schrödinger-KdV equation is an interesting mathematical model because of its wide and significant application in mathematics and applied sciences. A fractional coupled Schrödinger-KdV equation in the sense of Caputo derivative is investigated in this article. Namely, we p...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20221087?viewType=HTML |
| _version_ | 1811271676195766272 |
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| author | Rasool Shah Abd-Allah Hyder Naveed Iqbal Thongchai Botmart |
| author_facet | Rasool Shah Abd-Allah Hyder Naveed Iqbal Thongchai Botmart |
| author_sort | Rasool Shah |
| collection | DOAJ |
| description | The time-fractional coupled Schrödinger-KdV equation is an interesting mathematical model because of its wide and significant application in mathematics and applied sciences. A fractional coupled Schrödinger-KdV equation in the sense of Caputo derivative is investigated in this article. Namely, we provide a comparative study of the considered model using the Adomian decomposition method and the homotopy perturbation method with Shehu transform. Approximate solutions obtained using the Adomian decomposition and homotopy perturbation methods were numerically evaluated and presented in graphs and tables. Then, these solutions were compared to the exact solutions, demonstrating the simplicity, effectiveness, and good accuracy of the applied method. To demonstrate the accuracy and efficiency of the suggested techniques, numerical problem are provided. |
| first_indexed | 2024-04-12T22:25:15Z |
| format | Article |
| id | doaj.art-8d154dcfa4464c449b33bf3ce42482ee |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-12T22:25:15Z |
| publishDate | 2022-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8d154dcfa4464c449b33bf3ce42482ee2022-12-22T03:14:11ZengAIMS PressAIMS Mathematics2473-69882022-09-01711198461986410.3934/math.20221087Fractional view evaluation system of Schrödinger-KdV equation by a comparative analysisRasool Shah 0Abd-Allah Hyder1Naveed Iqbal2Thongchai Botmart 31. Department of Mathematics, Abdul Wali khan university Mardan 23200, Pakistan2. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia 3. Department of Engineering Mathematics and Physics, Faculty of Engineering, Al-Azhar University, Cairo, Egypt4. Department of Mathematics, Faculty of Science, University of Ha'il, Ha'il 81451, Saudi Arabia5. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandThe time-fractional coupled Schrödinger-KdV equation is an interesting mathematical model because of its wide and significant application in mathematics and applied sciences. A fractional coupled Schrödinger-KdV equation in the sense of Caputo derivative is investigated in this article. Namely, we provide a comparative study of the considered model using the Adomian decomposition method and the homotopy perturbation method with Shehu transform. Approximate solutions obtained using the Adomian decomposition and homotopy perturbation methods were numerically evaluated and presented in graphs and tables. Then, these solutions were compared to the exact solutions, demonstrating the simplicity, effectiveness, and good accuracy of the applied method. To demonstrate the accuracy and efficiency of the suggested techniques, numerical problem are provided.https://www.aimspress.com/article/doi/10.3934/math.20221087?viewType=HTMLhomotopy perturbation shehu transformadomian decomposition methodcoupled schrödinger-kdv equationcaputo fractional operator |
| spellingShingle | Rasool Shah Abd-Allah Hyder Naveed Iqbal Thongchai Botmart Fractional view evaluation system of Schrödinger-KdV equation by a comparative analysis AIMS Mathematics homotopy perturbation shehu transform adomian decomposition method coupled schrödinger-kdv equation caputo fractional operator |
| title | Fractional view evaluation system of Schrödinger-KdV equation by a comparative analysis |
| title_full | Fractional view evaluation system of Schrödinger-KdV equation by a comparative analysis |
| title_fullStr | Fractional view evaluation system of Schrödinger-KdV equation by a comparative analysis |
| title_full_unstemmed | Fractional view evaluation system of Schrödinger-KdV equation by a comparative analysis |
| title_short | Fractional view evaluation system of Schrödinger-KdV equation by a comparative analysis |
| title_sort | fractional view evaluation system of schrodinger kdv equation by a comparative analysis |
| topic | homotopy perturbation shehu transform adomian decomposition method coupled schrödinger-kdv equation caputo fractional operator |
| url | https://www.aimspress.com/article/doi/10.3934/math.20221087?viewType=HTML |
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