Highly accurate difference schemes for time-nonlocal Schrodinger type problems

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. © 2023 Elsevier B.V., All rights reserved.