Two Numerical Methods for Solving the Schrödinger Parabolic and Pseudoparabolic Partial Differential Equations-Reference-Cited by-同舟云学术

Two Numerical Methods for Solving the Schrödinger Parabolic and Pseudoparabolic Partial Differential Equations

Published:2022-03-21 Issue: Volume:2022 Page:1-10
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Modanli Mahmut¹^ORCID,Bajjah Bushra²^ORCID,Kuşulay Sevgi¹²^ORCID

Affiliation:

1. Harran University, Faculty of Arts and Sciences, Department of Mathematics, Sanliurfa 63300, Turkey

2. Thamar University, Faculty of Applied Sciences, Department of Mathematics, Dhamar, Yemen

Abstract

In this work, the initial-boundary value problems for one-dimensional linear time-dependent Schrödinger parabolic and pseudoparabolic partial differential equations are studied. The modified double Laplace decomposition method is applied to get the semianalytic solutions and the explicit finite difference method to get the approximate solutions of the problems. The von Neumann stability analysis of the presented problems is also investigated.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2022/6542490.pdf

Reference24 articles.

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