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

IRK D., Kirli E., ZORŞAHİN GÖRGÜLÜ M.

Applied Mathematics and Information Sciences, cilt.16, sa.2, ss.331-339, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.18576/amis/160221
  • Dergi Adı: Applied Mathematics and Information Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.331-339
  • Anahtar Kelimeler: Cubic b-spline functions, Finite difference method, Galerkin method, Klein-gordon equation
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

© 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