One Numerical Simulation for the 2D Variable Order Fractional  Schrodinger Equation with the Quantum Riesz-Feller Derivative

Rasolomampiandry Gilbert; Randimbindrainibe Falimanana

One Numerical Simulation for the 2D Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative

October 2020

Vol-6, Issue-5

Paper ID: 12941

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

Mathematics

Keywords

fractional derivatives- quantum Riesz–Feller derivative-2D Variable Order

Abstract

In this paper, we present an accurate numerical method for solving a space-fractional Schrodinger equation in two dimensions. The quantum Riesz–Feller fractional derivative is used to define the fractional derivatives. The proposed numerical method is analogue of the Crank–Nicholson method and right-shifted formula of Grunwald-Letnikov

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Author Information

#	Name	Institute / Affiliation
1	Rasolomampiandry Gilbert	Ecole Supérieure Polytechnique Antananarivo Madagascar
2	Randimbindrainibe Falimanana	Ecole Supérieure Polytechnique Antananarivo Madagascar

How to Cite

Use the following formats to cite this article in your research.

APA Style

Gilbert, Rasolomampiandry & Falimanana, Randimbindrainibe (2020). One Numerical Simulation for the 2D Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative. International Journal of Advance Research and Innovative Ideas In Education, 6(5), 1851-1868.

MLA Style

Gilbert, Rasolomampiandry, and Randimbindrainibe Falimanana. "One Numerical Simulation for the 2D Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative." International Journal of Advance Research and Innovative Ideas In Education, vol. 6, no. 5, 2020, pp. 1851-1868.

IEEE Style

Rasolomampiandry Gilbert and Randimbindrainibe Falimanana, "One Numerical Simulation for the 2D Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative," International Journal of Advance Research and Innovative Ideas In Education, vol. 6, no. 5, pp. 1851-1868, 2020.

Vancouver Style

Gilbert Rasolomampiandry, Falimanana Randimbindrainibe. One Numerical Simulation for the 2D Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative. International Journal of Advance Research and Innovative Ideas In Education. 2020;6(5):1851-1868.

Harvard Style

Gilbert, Rasolomampiandry & Falimanana, Randimbindrainibe (2020) 'One Numerical Simulation for the 2D Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative', International Journal of Advance Research and Innovative Ideas In Education, 6(5), pp. 1851-1868.

Chicago Style

Gilbert, Rasolomampiandry and Randimbindrainibe Falimanana. "One Numerical Simulation for the 2D Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative." International Journal of Advance Research and Innovative Ideas In Education 6, no. 5 (2020): 1851-1868.

Turabian Style

Gilbert, Rasolomampiandry and Randimbindrainibe Falimanana. "One Numerical Simulation for the 2D Variable Order Fractional Schrodinger Equation with the Quantum Riesz-Feller Derivative." International Journal of Advance Research and Innovative Ideas In Education 6, no. 5 (2020): 1851-1868.