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:	M. A. Abdelkawy, S. A. Alyami
Format:	Article
Language:	English
Published:	Hindawi Limited 2021-01-01
Series:	Journal of Function Spaces
Online Access:	http://dx.doi.org/10.1155/2021/5567970

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spelling	doaj-78a83f6dbfad4f83bcff5928cf9f32072021-04-26T00:03:55ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5567970A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu EquationM. A. Abdelkawy0S. A. Alyami1Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsThis 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M. A. Abdelkawy S. A. Alyami
spellingShingle	M. A. Abdelkawy S. A. Alyami A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu Equation Journal of Function Spaces
author_facet	M. A. Abdelkawy S. A. Alyami
author_sort	M. A. Abdelkawy
title	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_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_sort	spectral collocation technique for riesz fractional chen-lee-liu equation
publisher	Hindawi Limited
series	Journal of Function Spaces
issn	2314-8888
publishDate	2021-01-01
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.
url	http://dx.doi.org/10.1155/2021/5567970
work_keys_str_mv	AT maabdelkawy aspectralcollocationtechniqueforrieszfractionalchenleeliuequation AT saalyami aspectralcollocationtechniqueforrieszfractionalchenleeliuequation AT maabdelkawy spectralcollocationtechniqueforrieszfractionalchenleeliuequation AT saalyami spectralcollocationtechniqueforrieszfractionalchenleeliuequation
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A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu Equation

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