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
Affiliations
Stelios Bekiros
FEMA, University of Malta, MSD 2080 Msida, Malta
Samaneh Soradi-Zeid
Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan 9816745845, Iran
Jun Mou
School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China
Amin Yousefpour
Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 94720, USA
Ernesto Zambrano-Serrano
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
Hadi Jahanshahi
Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, Canada
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.
