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Browsing Matematik Bölümü Koleksiyonu by Author

Browsing Matematik Bölümü Koleksiyonu by Author "Geyikli, Turabi"

Now showing items 1-12 of 12

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 ...
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 ...
Modifiye edilmiş burgers’ denkleminin kuintik b-spline diferensiyel quadrature metot ile nümerik çözümleri

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

Zamana bağlı kısmi türevli diferensiyel denklemlerde önce konum türevi içeren terim DQM ‘un kullanımıyla nümerik olarak ayrıştırılır. Böylece; kısmi türevli diferensiyel denklem, adi diferensiyel denkleme dönüştürülür. ...
Numerical solution of the modified equal width wave equation

Geyikli, Turabi; Karakoç, Seydi Battal Gazi (2012)

Numerical solution of the modified equal width wave equation is obtained by using lumped Galerkin method based on cubic B-spline finite element method. Solitary wave motion and interaction of two solitary waves are studied ...
Petrov Galerkin finite element method for solving the MRLW equation

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

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 ...
Petrov galerkin method with cubic B splines for solving the MEW equation

Geyikli, Turabi; Karakoç, Seydi Battal Gazi (2012)

In the present paper, we introduce a numerical solution algorithm based on a Petrov-Galerkin method in which the element shape functions are cubic B-splines and the weight functions quadratic B-splines . The motion of a ...
Septic B spline collocation method for the numerical solution of the modified equal width wave equation

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

Numerical solutions of the modified equal width wave equation are obtained by using collocation method with septic B-spline finite elements with three different linearization techniques. The motion of a single solitary ...
Subdomain finite element method with quartic B-splines for the modified equal width wave equation

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

In this paper, a numerical solution of the modified equal width wave (MEW) equation, has been obtained by a numerical technique based on Subdomain finite element method with quartic Bsplines. Test problems including the ...
Two different methods for numerical solution of the modified burgers’ equation

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

A numerical solution of the modified Burgers’ equation (MBE) is obtained by using quartic B-spline subdomain finite element method (SFEM) over which the nonlinear term is locally linearized and using quartic B-spline ...