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Matematik Bölümü: Recent submissions

Toplam kayıt 124, listelenen: 21-40

Drinfeld–Sokolov–Satsuma–Hirota (DSSH) denkleminin rezidual kuvvet seri metodu (RKSM) yardımıyla yaklaşık çözümü

Kaya, Ahmet (2021-10-12)

Drinfeld–Sokolov–Satsuma–Hirota (DSSH) equation approximation solution is acquired by using the residual power series method (RPSM) in this study. The conformable sense is used to characterize the fractional derivatives ...
İkı̇ perı̇yotlu Fı̇bonaccı̇ ve Lucas sedenyonlarının Q-analogları

Köme, Sure; Gün, Hafize (10. Uluslararası Bilimsel Araştırmalar Kongresi (UBAK), 2021-04-12)

Kuantum analizi, sayı teorisi, fizik ve matematik gibi birçok alanda önemli bir yere sahiptir. Bu çalışmada, kuantum analizinden bazı yararlı gösterimler alarak, iki periyotlu Fibonacci ve Lucas sedenyonlarını bir ...
Fibonacci sedenyonlarının yeni bir genelleştirilmesi üzerine

Köme, Sure; Kirik, Hafize (III. International Scientific and Vocational Studies Congress, 2019-06-30)

Bu çalışmanın amacı Fibonacci sedenyonlarının daha genel hale getirilmesidir. Literatürde var olan Fibonacci sedenyonları ile ilgili çalışmalardan farklı olarak bu çalışmada Omer Yayenie tarafından 2011 yılında tanımlanan ...
Quantum calculus approach to the dual bicomplex fibonacci and lucas numbers

Köme, Sure; Köme, Cahit; Catarino, Paula M.C. (Journal of mathematical extension, 2022)

Quantum calculus, which arises in the mathematical fields of combinatorics and special functions as well as in a number of areas, involving the study of fractals and multi-fractal measures, and expressions for the entropy ...
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 ...
Numerical solutions of generalized Rosenau-Kawahara-RLW equation using finite element method

Karakoç, Seydi Battal Gazi; Zeybek, Hakan (2021)

Nonlinear wave phenomena appear in many fields, such as fluid mechanics, plasma physics, applied mathematics, in engineering problems, biology, hydrodynamics, solid state physics and optical bers. In order to better ...
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 scheme for rosenau-kdv equation using finite element method

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

In this work, numerical solutions for the Rosenau-KdV equation are studied by using finite element method. For temporal discretization, Crank-Nicolson and forward difference approach are used. Numerical results are ...
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 ...
Rosenau-korteweg-de vries denkleminin sayısal çözümleri

Karakoç, Seydi Battal Gazi; Ak, Turgut; Başhan, Ali (2015)

Bu çalışmada, sonlu elemanlar yöntemi ile Rosenau-KdV denkleminin sayısal çözümleri incelenmiştir. 𝐿��2 ve 𝐿��∞ hata normları ve 𝐼��1 , 𝐼��2 değişmezleri hesaplanarak sunulan yöntemin geçerliliğini göstermek ...
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. ...
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 ...
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 ...
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. ...
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 ...
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 ...
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 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 ...
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. ...