A COMPOSITE NUMERICAL METHOD ON THE SOLUTION OF COUPLED SINE-GORDON EQUATIONS BASED ON THE FIXED POINT THEORY

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Yıldırım Ö., Uzun M.

Banach Spaces and their Applications, Lviv, Ukraine, 26 - 29 June 2019

  • Publication Type: Conference Paper / Summary Text
  • City: Lviv
  • Country: Ukraine
  • Yıldız Technical University Affiliated: Yes

Abstract

In the present work the numerical solution and unique solvability of coupled sine Gordon equations is considered. A composite numerical method based on finite difference method and fixed point iteration is implemented to solve coupled sine-Gordon equations with appropriate initial and boundary conditions. A test problem is employed and results of numerical experiments are presented with error analysis