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Sonraki Sayfa

A C 0 finite element method for the biharmonic problem without extrinsic penalization

Karakoç, Seydi Battal Gazi; Neilan, Michael (2014)

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 ...
A detailed numerical study on generalized ROSENAU-KDV equation with finite element method

Karakoç, Seydi Battal Gazi (2018)

In this study, we have got numerical solutions of the generalized RosenauKdV equation by using collocation finite element method in which septic B-splines are used as approximate functions. Effectivity and proficiency of ...
A new approach for numerical solution of modified korteweg-de vries equation

Ak, Turgut; Karakoç, Seydi Battal Gazi; Biswas, Anjan (2017)

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 ...
A new approach for numerical solution of modified korteweg-de vries equation

Ak, Turgut; Karakoç, Seydi Battal Gazi; Biswas, Anjan (2017)

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 ...
A new numerical application of the generalized Rosenau-RLW equation

Karakoç, Seydi Battal Gazi (2020)

. This study implemented a collocation nite element method based on septic B-splines as a tool to obtain the numerical solutions of the nonlinear generalized RosenauRLW equation. One of the advantages of this method is ...
A numerical solution of the MEW equaiton using sextic B splines

Karakoç, Seydi Battal Gazi; Geyikli, Turabi (2013)

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 ...
A numerical solution of the MEW equation

Karakoç, Seydi Battal Gazi; Geyikli, Turabi (2011)

In this study, modified equal width wave (MEW) equation is solved numerically by the Subdomain finite element method using quartic B-spline functions. Test problems including the motion of a single solitary wave and ...
A numerical solution of the Modified Regularized Long Wave MRLW equation using quartic B splines

Karakoç, Seydi Battal Gazi; Geyikli, Turabi; Başhan, Ali (2013)

In this paper, a numerical solution of the modified regularized long wave (MRLW) equation is obtained by subdomain finite element method using quartic B-spline functions. Solitary wave motion, interaction of two and three ...
A numerical study using finite element method for generalized RosenauKawahara-RLW equation

Karakoç, Seydi Battal Gazi; Kumar, Samir Kumar; Gao, Fuzheng (2019)

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 ...
A numerical technique based on collocation method for solving modified Kawahara equation

Ak, Turgut; Karakoç, Seydi Battal Gazi (2018)

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 ...
A quartic subdomain finite element method for the modified kdv equation

Karakoç, Seydi Battal Gazi (2018)

In this article, we have obtained numerical solutions of the modified Korteweg-de Vries (MKdV) equation by a numerical technique attributed on subdomain finite element method using quartic B-splines. The proposed numerical ...
A septic B-spline collocation method for solving the generalized equal width wave equation

Karakoç, Seydi Battal Gazi; Zeybek, Halil (2016)

In this work, a septic B-spline collocation method is implemented to find the numerical solution of the generalized equal width (GEW) wave equation by using two different linearization techniques. Test problems including ...
An efficient approach to numerical study of the MRLW equation with b spline collocation method

Karakoç, Seydi Battal Gazi; Ak, Turgut; Zeybek, Halil (2014)

A septic B-spline collocation method is implemented to find the numerical solution of the modified regularized long wave (MRLW) equation. Three test problems including the single soliton and interaction of two and three ...
Analytical and computational approaches on solitary wave solutions of the Generalized Equal Width Equation

Karakoç, Seydi Battal Gazi; Ali, Kalid K. (2020)

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 ...
Application of Petrov-Galerkin nite element method to shallow water waves model: Modi ed Korteweg-de Vries equation

Ak, Turgut; Karakoç, Seydi Battal Gazi; Biswas, Anjan (2017)

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 ...
Application of Petrov-Galerkin finite element methodto shallow water waves model: Modified Korteweg-deVries equation

Ak, Turgut; Karakoç, Seydi Battal Gazi; Biswas, Anjan (2017)

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 ...
Application of the collocation method with b-splines to the gew equation

Zeybek, Halil; Karakoç, Seydi Battal Gazi (2017)

In this paper, the generalized equal width (GEW) wave equation is solved numerically by using a quintic B-spline collocation algorithm with two different linearization techniques. Also, a linear stability analysis of the ...
Applİcatİon of the collocatİon method wİth b-splİnes to the gew equatİon

Zeybek, Halil; Karakoç, Seydi Battal Gazi (2017)

In this paper, the generalized equal width (GEW) wave equation is solved numerically by using a quintic B-spline collocation algorithm with two different linearization techniques. Also, a linear stability analysis of the ...
Approximation of the KdVB equation by the quintic B-spline differential quadrature method

Başhan, Ali; Karakoç, Seydi Battal Gazi; Geyikli, Turabi (2015)

In this paper, the Korteweg-de Vries-Burgers’ (KdVB) equation is solved numerically by a new differential quadrature method based on quintic B-spline functions. The weighting coefficients are obtained by semi-explicit ...
B-spline differential quadrature method for the modified burgers’ equation

Başhan, Ali; Karakoç, Seydi Battal Gazi; Geyikli, Turabi (2015)

In this study, the Quintic B-spline Differential Quadrature method (QBDQM) is applied to find the numerical solution of the modified Burgers’ equation (MBE). The efficiency and accuracy of the method are measured by ...