Uzun, MeltemYıldırım, Özgür2024-07-122024-07-122019Uzun, M. ve Yıldırım, Ö. (2019). On unique solvability of nonlinear coupled systems. International Conference of Mathematical Sciences (ICMS 2019). s. 136.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2098In this study, the unique solvability and numerical solution of coupled sine Gordon equations is considered. The variational method is implemented to obtain unique weak solution. A new hybrid numerical method which combines finite difference method and fixed point iteration is used to solve the generalized form of coupled sine-Gordon equations. The novel first order of accuracy stable difference scheme is employed with a fixed point iteration for the approximate solution of the nonlinear coupled system. Numerical experiments are presented with error analysis, to verify the accuracy of the proposed method.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessExistence-uniquenessFinite difference methodFixed point theoryArticle137136