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

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-independ...

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Autores principales:	Obaidat Saleem, Butt Rizwan
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	phase-lag stability analysis implicit symmetric method schrödinger equation truncation error 65d15 65d20 34a50 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/29d6f01572b648ecbaf11e094aabd488
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spelling	oai:doaj.org-article:29d6f01572b648ecbaf11e094aabd4882021-12-05T14:10:52ZA new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation2391-545510.1515/math-2021-0009https://doaj.org/article/29d6f01572b648ecbaf11e094aabd4882021-05-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0009https://doaj.org/toc/2391-5455In 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.Obaidat SaleemButt RizwanDe Gruyterarticlephase-lagstability analysisimplicit symmetric methodschrödinger equationtruncation error65d1565d2034a50MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 225-237 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	phase-lag stability analysis implicit symmetric method schrödinger equation truncation error 65d15 65d20 34a50 Mathematics QA1-939
spellingShingle	phase-lag stability analysis implicit symmetric method schrödinger equation truncation error 65d15 65d20 34a50 Mathematics QA1-939 Obaidat Saleem Butt Rizwan A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation
description	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.
format	article
author	Obaidat Saleem Butt Rizwan
author_facet	Obaidat Saleem Butt Rizwan
author_sort	Obaidat Saleem
title	A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation
title_short	A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation
title_full	A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation
title_fullStr	A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation
title_full_unstemmed	A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation
title_sort	new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving schrödinger's equation
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/29d6f01572b648ecbaf11e094aabd488
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_version_	1718371641396822016

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

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