A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation-Reference-Cited by-同舟云学术

A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation

Published:2021-01-01 Issue:1 Volume:19 Page:225-237
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Obaidat Saleem¹,Butt Rizwan¹

Affiliation:

1. Department of Mathematics, College of Science, King Saud University , Riyadh , Kingdom of Saudi Arabia

Abstract

Abstract In this article, we have developed an implicit symmetric four-step method of sixth algebraic order with vanished phase-lag and its first derivative. The error and stability analysis of this method are investigated, and its efficiency is tested by solving efficiently the one-dimensional time-independent Schrödinger’s equation. The method performance is compared with other methods in the literature. It is found that for this problem the new method performs better than the compared methods.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0009/pdf

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