A Numerical Algorithm for the Schrödinger Type Differential Equation with Time Involution

Volume 22 , Issue 2 , December 2020 , Pages 157-162

Authors

Allaberen Ashyralyev 1 ; Twana Hidayat 1

1 Department of Mathematics, Near East University, Nicosia, Mersin 10, Turkey.

DOI logo 10.17656/jzs.10817

Keywords

Abstract

The initial boundary value problem for the one dimensional (SE) with time involution and Neumann condition is investigated. The theorem on stability this problem is proved. New absolute stable difference schemes (DSs) for this involution problem are constucted. The theorem on stability the first order of accuracy difference scheme is established. The algorithm has been built for these (DSs), a program is written, examples are presented, and numerical results have been tabulated. Comparisons of errors are made between the exact and numerical solutions in maximum norm. All the computer programs are written in Matlab. 

Statistics
  • Article view435
  • Downloads0
  • Published at20 December 2020

  • RIS
  • BibTeX
  • EndNote
  • Mendeley
  • APA (7th edition)
  • MLA (9th edition)
  • Chicago
  • Harvard
  • IEEE
  • Vancouver