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Konu "Collocation" için Matematik Bölümü Koleksiyonu listeleme

Toplam kayıt 21, listelenen: 1-20

Sonraki Sayfa

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 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 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 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 ...
B-spline kollokasyon yöntemi ile genelleştirilmiş eşit genişlikli dalga denkleminin sayısal çözümleri

Karakoç, Seydi Battal Gazi; Kaya, İbrahim (2021)

Bu tezde GEW denkleminin sayısal çözümleri kuintik ve septik B-spline kollokasyon sonlu elemanlar yöntemi ile elde edilmiştir. Bu tez çalışması dört bölümden oluşmaktadır. Tezin birinci bölümünde; Sonlu Elemanlar Yöntemi, ...
B-spline kollokasyon yöntemi ile generalized regularized long wave (GRLW) denkleminin yaklaşık çözümleri

Şahin, Dilaver; Karakoç, Seydi Battal Gazi (2018)

Bu tez çalışmasında, GRLW (Genelleştirilmiş Düzenli Uzun Dalga) denkleminin yaklaşık çözümleri beşinci (kuintik) dereceden ve yedinci (septik) dereceden B-spline fonksiyonlar kullanılarak Kollokasyon yöntemi ile elde ...
Different linearization techniques for the numerical solution of the MEW equation

Uçar, Yusuf; Yağmurlu, Nuri Murat; Karakoç, Seydi Battal Gazi (2012)

The modi ed equal width wave (MEW) equation is solved numeri- cally by giving two di¤erent linearization techniques based on collocation nite element method in which cubic B-splines are used as approximate functions. ...
Düzenlenmiş korteweg-de vrıes (mkdv) denkleminin sonlu elemanlar yöntemleri ile sayısal çözümleri

Karakoç, Seydi Battal Gazi; Acer, Tuncel (2021)

Bu tez çalışmasında, MKdV (Modifiye edilmiş Korteweg-deVries) denkleminin yaklaşık çözümleri dördüncü (kuartik) mertebeden B-spline fonksiyonlar kullanılarak Subdomain yöntemi ve beşinci (kuintik) mertebeden B-spline ...
Genelleştirilmiş eşit genişlikli dalga (gew) denkleminin septik b-spline kollokasyon sonlu eleman yöntemi ile çözümü

Karakoç, Seydi Battal Gazi; Zeybek, Halil (2015)

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 ...
Genelleştirilmiş rosenau-kawahara-rlw denkleminin sayısal çözümü

Karakoç, Seydi Battal Gazi (2018)

Bu proje kapsamında genelleştirilmiş Rosenau-Kawahara-RLW denkleminin sayısal çözümleri B-spline kollokasyon sonlu eleman yöntemi ile elde edilecektir.
GEW ve GRLW denklemlerinin sonlu elemanlar yöntemi ile sayisal çözümleri

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

Bu tez c¸alıs¸masında, GEW ve GRLW denklemleri, B-spline fonksiyonlar kullanılarak kollokasyon ve Galerkin sonlu elemanlar yontemleri ile sayısal olarak çozüldü. Von-Neumann tekniği kullanılarak, lineerleştirilmis¸ ...
Numerical approximation to a solution of the modified regularized long wave equation using quintic B splines

Karakoç, Seydi Battal Gazi; Yağmurlu, Nuri Murat; Uçar, Yusuf (2013)

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 ...
Numerical scheme to dispersive shallow water waves

Ak, Turgut; Karakoç, Seydi Battal Gazi; Biswas, Anjan (2016)

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 ...
Numerical simulation of dispersive shallow water waves with an efficient method

Ak, Turgut; Karakoç, Seydi Battal Gazi; Biswas, Anjan (2015)

The main purpose of this paper has been to compare the numerical results when the septic B-spline is used in the collocation method, and performance of the splitting technique in the numerical methods has been investigated. ...
Numerical solutions of gr-rlw equation using collocation method with septic b-splines

Karakoç, Seydi Battal Gazi; Türk, Gökhan (2018)

In this work, numerical solutions of generalized Rosenau- RLW equation have been obtained with B-spline collocation method.
Numerical solutions of kaup-kupershmidt and ıto equations with b-spline collocation method

Karakoç, Seydi Battal Gazi; Sucu, Derya (2021)

In this study, it is aimed to obtain the numerical solutions of two types of fifth-order Korteweg-de Vries (KdV) equations namely Kaup-Kupershmidt (K-K) and Ito. For this purpose, collocation finite element method is used. ...
Numerical solutions of the Kawahara equation by the septic B spline collocation method

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

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. ...
Numerical solutions of the modified KdV Equation with collocation method

Karakoç, Seydi Battal Gazi (2018)

In this article, numerical solutions of the modified Korteweg-de Vries (MKdV) equation have been obtained by a numerical technique attributed on collocation method using quintic B-spline finite elements. The suggested ...