A Note on the Numerical Solution of Coupled Klein-Gordon Equations

---

YILDIRIM Ö., UZUN M.

3rd International Conference of Mathematical Sciences (ICMS), İstanbul, Turkey, 4 - 08 September 2019, vol.2183, (Full Text)

• Publication Type: Conference Paper / Full Text
• Volume: 2183
• Doi Number: 10.1063/1.5136192
• City: İstanbul
• Country: Turkey
• Open Archive Collection: AVESIS Open Access Collection
• Yıldız Technical University Affiliated: Yes

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.