Numerical solution of a coupled modified Korteweg-de Vries equation by the Galerkin method using quadratic B-splines

Kutluay, S.Ucar, Y.2024-08-042024-08-0420130020-71601029-0265https://doi.org/10.1080/00207160.2013.775425https://hdl.handle.net/11616/96294In this paper, numerical solutions of a coupled modified Korteweg-de Vries equation have been obtained by the quadratic B-spline Galerkin finite element method. The accuracy of the method has been demonstrated by five test problems. The obtained numerical results are found to be in good agreement with the exact solutions. A Fourier stability analysis of the method is also investigated.eninfo:eu-repo/semantics/closedAccesscoupled mKdVequationfinite element methodGalerkin methodquadratic B-splineFourier stability analysisNumerical solution of a coupled modified Korteweg-de Vries equation by the Galerkin method using quadratic B-splinesArticle90112353237110.1080/00207160.2013.7754252-s2.0-84889249814Q2WOS:000327589500012Q3