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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:
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
Descripción
Sumario: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.