A Unified Numerical Method for Solving System of Nonlinear Wave Equations

YILDIRIM Ö., Uzun M.

4th International Conference on Analysis and Applied Mathematics, ICAAM 2018, Mersin, Turkey, 6 - 09 September 2018, vol.351, pp.149-159 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 351
  • Doi Number: 10.1007/978-3-030-69292-6_11
  • City: Mersin
  • Country: Turkey
  • Page Numbers: pp.149-159
  • Istanbul Gelisim University Affiliated: No

Abstract

In this study a composite numerical method is implemented for solving the nonlinear coupled system of sine Gordon equations. The first and second order of accuracy unconditionally stable difference schemes are used in fixed point iteration for the approximate solution of the nonlinear coupled system. The unique solvability of the system is considered. Some numerical results are presented in tables and error analysis is given. Presented numerical results are carried out using the MATLAB software.