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Browsing by Author "Ucar, Yusuf"

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Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method

Karakoc, Seydi Battal Gazi; Ucar, Yusuf; Yagmurlu, Nurimurat (ACADEMIC PUBLICATION COUNCIL, 2015-05)

In this paper, a numerical solution of the modified regularized long wave (MRLW) equation has been obtained by a numerical technique based on a lumped Galerkin method using cubic B-spline finite elements. Solitary wave ...
Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method

Kutluay, Selcuk; Ucar, Yusuf; Yagmurlu, N. Murat (Sprınger, 233 sprıng st, new york, ny 10013 usa, 2016)

In this paper, a numerical solution of the modified Burgers equation is obtained by a cubic B-spline collocation method. In the solution process, a linearization technique based on quasi-linearization has been applied to ...
A Collocation Finite Element Solution for Stefan Problems with Periodic Boundary Conditions

Karabenli, Hatice; Ucar, Yusuf; Aksan, E. Nesligul (Unıv nıs, fac scı math, po box 224, vısegradska 33, nıs, 18000, serbıa monteneg, 2016)

In this study, we are going to obtain some numerical solutions of Stefan problems given together with time-dependent periodic boundary conditions. After using variable space grid method, we have presented a numerical finite ...
Numerical solution of the complex modified Korteweg-de Vries equation by DQM

Bashan, Ali; Ucar, Yusuf; Yagmurlu, N. Murat; Esen, Alaattin (Iop publıshıng ltd, dırac house, temple back, brıstol bs1 6be, england, 2016)

In this paper, a method based on the differential quadrature method with quintic B-spline has been applied to simulate the solitary wave solution of the complex modified Kortewegde Vries equation (CMKdV). Three test problems, ...
An effective approach to numerical soliton solutions for the schrodinger equation via modified cubicb-spline differential quadrature method

Bashan, Ali; Yagmurlu, Nuri Murat; Ucar, Yusuf; Esen, Alaattin (Pergamon-elsevıer scıence ltd, the boulevard, langford lane, kıdlıngton, oxford ox5 1gb, england, 2017)

In this study, an effective differential quadrature method (DQM) which is based on modified cubic B-spline (MCB) has been implemented to obtain the numerical solutions for the nonlinear Schrodinger (NLS) equation. After ...
A new perspective for quintic b-spline based crank-nicolson-differential quadrature methodalgorithm for numerical solutions of the nonlinear schrodinger equation

Bashan, Ali; Ucar, Yusuf; Yagmurlu, N. Murat; Esen, Alaattin (Sprınger heıdelberg, tıergartenstrasse 17, d-69121 heıdelberg, germany, 2018)

In the present paper, a Crank-Nicolson-differential quadrature method (CN-DQM) based on utilizing quintic B-splines as a tool has been carried out to obtain the numerical solutions for the nonlinear Schrodinger (NLS) ...
Operator splıttıng for numerıcal solutıons of the rlw equatıon

Yagmurlu, Nuri Murat; Ucar, Yusuf; Celikkaya, Ihsan (Wılmıngton scıentıfıc publısher, llc, 890-1 s kerr ave, wılmıngton, nc 28403 usa, 2018)

In this study, the numerical behavior of the one-dimensional Regularized Long Wave (RLW) equation has been sought by the Strang splitting technique with respect to time. For this purpose, cubic B-spline functions are used ...

Now showing items 1-7 of 7

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