A symmetric C0 finite element method for the biharmonic problem is constructed and analyzed. In our approach, we introduce one-sided discrete second-order derivatives and Hessian matrices to formulate our scheme. We show ...

In this article, a numerical solution of the modified equal width wave (MEW) equation, based on subdomain method using sextic B-spline is used to simulate the motion of single solitary wave and interaction of two solitary ...

In this paper, we are going to obtain the soliton solution of the generalized RosenauKawahara-RLW equation that describes the dynamics of shallow water waves in oceans and rivers. We confirm that our new algorithm is ...

In this article, firstly numerical solutions of the generalized equal width (GEW) equation have been obtained by a Petrov-Galerkin finite element method using cubic B-spline base functions as element shape functions and ...

Bu çalışmada genelleştirilmiş eşit genişlikli dalga denkleminin sayısal çözümünü bulmak için iki farklı lineerleştirme tekniği kullanılarak septik b-spline kollokasyon yöntemi uygulanmıştır. Solitary dalga çözümü, iki ...

In this work, a numerical solution of the modified regularized long wave (MRLW) equation is obtained by the method based on collocation of quintic B-splines over the finite elements. A linear stability analysis shows ...

In this work, numerical solutions of generalized Rosenau- RLW equation have been obtained with B-spline collocation method.

In this article, a Petrov-Galerkin method, in which the element shape functions are cubic and weight functions are quadratic B-splines, is introduced to solve the modified regularized long wave (MRLW) equation. The solitary ...