A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu Equation
This paper discusses the study of optical solitons that are modeled by Riesz fractional Chen-Lee-Liu model, one of the versions of the famous nonlinear Schrödinger equation. This model is solved by the assistance of consecutive spectral collocation technique with two independent approaches. The firs...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5567970 |
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| _version_ | 1849410259511148544 |
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| author | M. A. Abdelkawy S. A. Alyami |
| author_facet | M. A. Abdelkawy S. A. Alyami |
| author_sort | M. A. Abdelkawy |
| collection | DOAJ |
| description | This paper discusses the study of optical solitons that are modeled by Riesz fractional Chen-Lee-Liu model, one of the versions of the famous nonlinear Schrödinger equation. This model is solved by the assistance of consecutive spectral collocation technique with two independent approaches. The first is the approach of the spatial variable, while the other is the approach of the temporal variable. It is concluded that the method of the current paper is far more efficient and credible for the proposed problem. Numerical results illustrate the performance efficiency of the algorithm. The results also point out that the scheme can lead to spectral accuracy of the studied model. |
| format | Article |
| id | doaj-art-78a83f6dbfad4f83bcff5928cf9f3207 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-78a83f6dbfad4f83bcff5928cf9f32072025-08-20T03:35:11ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55679705567970A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu EquationM. A. Abdelkawy0S. A. Alyami1Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi ArabiaThis paper discusses the study of optical solitons that are modeled by Riesz fractional Chen-Lee-Liu model, one of the versions of the famous nonlinear Schrödinger equation. This model is solved by the assistance of consecutive spectral collocation technique with two independent approaches. The first is the approach of the spatial variable, while the other is the approach of the temporal variable. It is concluded that the method of the current paper is far more efficient and credible for the proposed problem. Numerical results illustrate the performance efficiency of the algorithm. The results also point out that the scheme can lead to spectral accuracy of the studied model.http://dx.doi.org/10.1155/2021/5567970 |
| spellingShingle | M. A. Abdelkawy S. A. Alyami A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu Equation Journal of Function Spaces |
| title | A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu Equation |
| title_full | A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu Equation |
| title_fullStr | A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu Equation |
| title_full_unstemmed | A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu Equation |
| title_short | A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu Equation |
| title_sort | spectral collocation technique for riesz fractional chen lee liu equation |
| url | http://dx.doi.org/10.1155/2021/5567970 |
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