Laguerre Wavelet Approach for a Two-Dimensional Time–Space Fractional Schrödinger Equation

This article is devoted to the determination of numerical solutions for the two-dimensional time–spacefractional Schrödinger equation. To do this, the unknown parameters are obtained using the Laguerre wavelet approach. We discretize the problem by using this technique. Then, we solve the discretize...

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Detalles Bibliográficos
Autores principales: Bekiros, Stelios, Soradi-Zeid, Samaneh, Mou, Jun, Yousefpour, Amin, Zambrano-Serrano, Ernesto, Jahanshahi, Hadi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9407114/
https://www.ncbi.nlm.nih.gov/pubmed/36010769
http://dx.doi.org/10.3390/e24081105
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author Bekiros, Stelios
Soradi-Zeid, Samaneh
Mou, Jun
Yousefpour, Amin
Zambrano-Serrano, Ernesto
Jahanshahi, Hadi
author_facet Bekiros, Stelios
Soradi-Zeid, Samaneh
Mou, Jun
Yousefpour, Amin
Zambrano-Serrano, Ernesto
Jahanshahi, Hadi
author_sort Bekiros, Stelios
collection PubMed
description This article is devoted to the determination of numerical solutions for the two-dimensional time–spacefractional Schrödinger equation. To do this, the unknown parameters are obtained using the Laguerre wavelet approach. We discretize the problem by using this technique. Then, we solve the discretized nonlinear problem by means of a collocation method. The method was proven to give very accurate results. The given numerical examples support this claim.
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spelling pubmed-94071142022-08-26 Laguerre Wavelet Approach for a Two-Dimensional Time–Space Fractional Schrödinger Equation Bekiros, Stelios Soradi-Zeid, Samaneh Mou, Jun Yousefpour, Amin Zambrano-Serrano, Ernesto Jahanshahi, Hadi Entropy (Basel) Article This article is devoted to the determination of numerical solutions for the two-dimensional time–spacefractional Schrödinger equation. To do this, the unknown parameters are obtained using the Laguerre wavelet approach. We discretize the problem by using this technique. Then, we solve the discretized nonlinear problem by means of a collocation method. The method was proven to give very accurate results. The given numerical examples support this claim. MDPI 2022-08-11 /pmc/articles/PMC9407114/ /pubmed/36010769 http://dx.doi.org/10.3390/e24081105 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Bekiros, Stelios
Soradi-Zeid, Samaneh
Mou, Jun
Yousefpour, Amin
Zambrano-Serrano, Ernesto
Jahanshahi, Hadi
Laguerre Wavelet Approach for a Two-Dimensional Time–Space Fractional Schrödinger Equation
title Laguerre Wavelet Approach for a Two-Dimensional Time–Space Fractional Schrödinger Equation
title_full Laguerre Wavelet Approach for a Two-Dimensional Time–Space Fractional Schrödinger Equation
title_fullStr Laguerre Wavelet Approach for a Two-Dimensional Time–Space Fractional Schrödinger Equation
title_full_unstemmed Laguerre Wavelet Approach for a Two-Dimensional Time–Space Fractional Schrödinger Equation
title_short Laguerre Wavelet Approach for a Two-Dimensional Time–Space Fractional Schrödinger Equation
title_sort laguerre wavelet approach for a two-dimensional time–space fractional schrödinger equation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9407114/
https://www.ncbi.nlm.nih.gov/pubmed/36010769
http://dx.doi.org/10.3390/e24081105
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