A note on the numerical solution of coupled Klein-Gordon equations

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YILDIRIM Ö., Uzun M.

3rd International Conference of Mathematical Sciences, ICMS 2019, İstanbul, Turkey, 4 - 08 September 2019, vol.2183 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2183
  • Doi Number: 10.1063/1.5136192
  • City: İstanbul
  • Country: Turkey
  • Keywords: Existence, Uniqueness, Weak solutions, Finite Difference, Fixed Point Theory
  • Istanbul Gelisim University Affiliated: No

Abstract

This study presents the numerical solution of coupled Klein-Gordon equations, which models exchange of energy between two different components of one-dimensional nonlinear wave process. A composite numerical method based on the first order of accuracy finite different scheme and fixed point iteration is implemented to solve coupled Klein-Gordon equations with appropriate initial and boundary conditions. A test problem is employed and results of numerical experiments are presented with error analysis.