Article

Highly accurate difference schemes for time‐nonlocal Schrodinger type problems

Allaberen AshyralyevDepartment of Mathematics Bahcesehir University Istanbul TurkeyAli SırmaDepartment of Industrial Engineering Haliç University Istanbul TurkeyCharyyar AshyralyyevDepartment of Mathematics Bahcesehir University Istanbul Turkey

Numerical Methods for Partial Differential Equationsjournal2022en

ABI

Abstract

Abstract In this study, time‐nonlocal Schrodinger type problems are investigated. Single step absolute stable highly accurate difference schemes for the numerical solution of these problems are presented and theorems on the stability of these difference schemes are established. Numerical illustrations in test examples for the third and fourth order of accuracy difference schemes are presented.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Electromagnetic Simulation and Numerical Methods

Identifiers

DOI: 10.1002/num.22979

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