Numerical analysis for coupled systems of two-dimensional time-space fractional Schrödinger equations with trapping potentials | Zendy

Betul Hicdurmaz | Zendy

Open Access

Numerical analysis for coupled systems of two-dimensional time-space fractional Schrödinger equations with trapping potentials

Author(s) -

Betul Hicdurmaz

Publication year - 2020

Publication title -

balıkesir üniversitesi fen bilimleri enstitüsü dergisi

Language(s) - English

Resource type - Journals

eISSN - 2536-5142

pISSN - 1301-7985

DOI - 10.25092/baunfbed.673243

Subject(s) - trapping , convergence (economics) , numerical analysis , nonlinear system , stability (learning theory) , space (punctuation) , mathematics , mathematical proof , numerical stability , schrödinger equation , mathematical analysis , physics , quantum mechanics , computer science , geometry , ecology , machine learning , economics , biology , economic growth , operating system

In this study general and classical coupled systems of nonlinear time-space fractional Schrodinger equations (TSFSDE) with trapping potentials are investigated with a numerical approach. Theorems on stability of the finite difference schemes for such problems are established and presented with their proofs. Numerical solutions are investigated for one and two-dimensional cases. Convergence rates are proved by numerical experiments. Effect of a trapping potential on such systems is searched throughout the paper.

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