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

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

doi:10.3390/e24081105

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

Entropy (Basel). 2022 Aug 11;24(8):1105. doi: 10.3390/e24081105.

Authors

Stelios Bekiros^{1

2

3}, Samaneh Soradi-Zeid⁴, Jun Mou⁵, Amin Yousefpour⁶, Ernesto Zambrano-Serrano⁷, Hadi Jahanshahi⁸

Affiliations

¹ FEMA, University of Malta, MSD 2080 Msida, Malta.
² LSE Health, Department of Health Policy, London School of Economics and Political Science, London WC2A 2AE, UK.
³ IPAG Business School (IPAG), 184, bd Saint-Germain, 75006 Paris, France.
⁴ Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan 9816745845, Iran.
⁵ School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China.
⁶ Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 94720, USA.
⁷ Facultad de Ingeniería Mecánica y Eléctrica, Universidad Autónoma de Nuevo León, Av. Universidad S/N, Cd. Universitaria, San Nicolás de los Garza C.P. 66455, NL, Mexico.
⁸ Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, Canada.

Abstract

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.

Keywords: Laguerre wavelet; Schrödinger equation; fractional derivative; two-dimensional fractional equation.

Grants and funding

This research received no external funding.