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

Authors

Dursun Irk, Department of Mathematics and Computer Science, Eskisehir Osmangazi University, 26040, Eskisehir, TurkeyFollow
Emre Kirli, Department of Mathematics, Istanbul Bilgi University, 34440, Istanbul, TurkeyFollow
Melis Zorsahin Gorgulu, Department of Mathematics and Computer Science, Eskisehir Osmangazi University, 26040, Eskisehir, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

In 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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160221

Recommended Citation

Irk, Dursun; Kirli, Emre; and Zorsahin Gorgulu, Melis (2022) "A High Order Accurate Numerical Solution of the Klein-Gordon Equation," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 21.
DOI: http://dx.doi.org/10.18576/amis/160221
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/21