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

2022; Multidisciplinary Digital Publishing Institute; Volume: 24; Issue: 8 Linguagem: Inglês

10.3390/e24081105

1099-4300

Stelios Bekiros, Samaneh Soradi‐Zeid, Jun Mou, Amin Yousefpour, Ernesto Zambrano-Serrano, Hadi Jahanshahi,

Nonlinear Waves and Solitons

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.