In this paper, a lumped Galerkin method is applied with cubic B-spline interpolation functions to find the numerical solution of the modified Korteweg-de Vries (mKdV) equation. Test problems including motion of single ...

In this article, a numerical solution of the modified Kawahara equation is presented by septic B-spline collocation method. Applying the von-Neumann stability analysis, the present method is shown to be unconditionally ...

In this article, modi ed Korteweg-de Vries (mKdV) equation is solved numerically by using lumped Petrov-Galerkin approach, where weight functions are quadratic and the element shape functions are cubic B-splines. The ...

Altı bölümden oluşan bu doktora tez çalışmasında, B-spline yaklaşım fonksiyonlarına bağlı sonlu elemanlar yöntemleri kullanılarak bazı sığ su dalga denklemlerinin sayısal çözümleri üzerinde çalışılmıştır. Elde edilen sayısal ...

This paper studies dispersive shallow water waves modeled by Rosenau Korteweg-de Vries (KdV) Regularized long wave (RLW) equation or R-KdV-RLW equation that is considered with power law nonlinearity. The numerical algorithm ...

In this article, a numerical solution of the Kawahara equation is presented by septic B-spline collocation method. Applying the Von-Neumann stability analysis, the present method is shown to be unconditionally stable. ...

Bu proje kapsamında GEW ve GRLW denklemlerinin sayısal çözümleri septik B-spline kollokasyon yöntemi ile elde edilecektir.