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Ali Shokri Shokri

Ali Shokri Shokri

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
Fourth derivative singularly P-stable method for the numerical solution of the Schrödinger equation
Type
JournalPaper
Keywords
Schrödinger equation; Consistency; Periodicity; P-stability; Singularly P-stability
Year
2021
Journal Advances in Difference Equations
DOI
Researchers Ali Shokri Shokri ، Higinio Ramos ، Mohammad Mehdizadeh ، Fikret A. Aliev ، Martin Bohner

Abstract

In this paper, we construct a method with eight steps that belongs to the family of Obrechkoff methods. Due to the explicit nature of the new method, not only does it not require another method as predictor, but it can also be considered as a suitable predictive technique to be used with implicit methods. Periodicity and error terms are studied when applied to solve the radial Schrödinger equation, considering different energy levels. We show its advantages in terms of accuracy, consistency, and convergence in comparison with other methods of the same order appearing in the literature.