A High Order Accurate Numerical Solution of the Klein-Gordon Equation

IRK D., Kirli E., ZORŞAHİN GÖRGÜLÜ M.

Applied Mathematics and Information Sciences, vol.16, no.2, pp.331-339, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 2
  • Publication Date: 2022
  • Doi Number: 10.18576/amis/160221
  • Journal Name: Applied Mathematics and Information Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.331-339
  • Keywords: Cubic b-spline functions, Finite difference method, Galerkin method, Klein-gordon equation
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

© 2022. NSP Natural Sciences Publishing CorIn this paper, numerical solution of the nonlinear Klein-Gordon equation is obtained by using the cubic B-spline Galerkin method for space discretization and the finite difference method which is of order four for time discretization. Accuracy of the method is presented by computing the maximum error norm. Robustness of the suggested method is shown by studying some classical test problems