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Browsing Fakülteler / Faculties by Author "Nevşehir Hacı Bektaş Veli Üniversitesi/fen-edebiyat fakültesi/matematik bölümü/uygulamalı matematik anabilim dalı"

Now showing items 61-80 of 83

On a three-dimensional system of difference equations with variable coefficients

Kara, Merve; Yazlik, Yasin; Nouressadat, Touafek; Youssouf, Akrour (2021)

Consider the three-dimensional system of difference equations xn+1 = ∏k j=0 zn−3j ∏k j=1 xn−(3j−1) ( an + bn ∏k j=0 zn−3j ), yn+1 = ∏k j=0 xn−3j ∏k j=1 yn−(3j−1) ( cn + dn ∏k j=0 xn−3j ), zn+1 = ∏k j=0 ...
On the Determinants and İnverses of r−circulant matrices with the biperiodic fibonacci and lucas numbers

Köme, Cahit; Yazlık, Yasin (2018)
On the generalized fibonacci and Lucas 2^k−ions

Köme, Sure; Kirik, Hafize (2020-11)

This study introduces the modified generalized Fibonacci and Lucas 2^k−ions whichare the generalizations of several quaternions, octonions and higher order dimensional algebras.We give the generating functions, the Binet ...
On the m-extension of Fibonacci p-functions with period k

Yazlık, Yasin; Köme, Cahit (2018)

Let fp;m be a real valued function on R, p be nonnegative integer, k be a positive integer and m be a nonnegative real number. For all x 2 R, fp;m(x + (p + 1)k) = mfp;m(x + pk) + fp;m(x), we call this function m􀀀��extension ...
On the solvable of nonlinear difference equation of sixth-order

Güngör, Müjdet; Yazlık, Yasin (2019)
On the symmetrical second order hyperbolic quaternions sequences

Köme, Sure; Köme, Cahit (2020-07)

The purpose of this study is to obtain a new generalized quaternions sequences byusing hyperbolic functions with second order recurrence sequences. First of all, we define thesymmetrical second order hyperbolicsineand the ...
On the system of difference equations x_{n}=\frac{x_{n-2}y_{n-3}}{y_{n-1}(a_n+b_nx_{n-2}y_{n-3})}, y_{n}=\frac{y_{n-2}x_{n-3}}{x_{n-1}(\alpha_n+\beta_ny_{n-2}x_{n-3})}

Kara, Merve; Yazlık, Yasin (2020)
Optical solitons for weakly nonlocal Schr¨odinger equation with parabolic law nonlinearity and external potential

Akinyemi, Lanre; Şenol, Mehmet; Mirzazadeh, Mohammad; Eslami, Mostafa (Elsevier, 2021-03-01)

This study discusses the soliton and other solutions for a weakly nonlocal Schr¨odinger equation of the fifth order involving nonlinearity of the parabolic law and an external potential. We use solitary wave ansatz of ...
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 ...
Q-Analogues of biperiodic fibonacci and lucas sedenions

Köme, Sure; Gün, Hafize (The 10th International Scientific Research Congress (UBAK), 2021-04-12)

Quantum calculus has an important areas in many areas such as number theory, physics and mathematics. In this paper, by taking some useful notations from quantum calculus, we define the biperiodic Fibonacci and Lucas ...
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 ...
Quantum mechanics approach for appropriately chosen hamiltonian

Kaya, Ahmet (2022-06-30)

In this paper, Dirac notations are operated to find the Hamiltonian matrix with the eigenvector basis for two and three-state cases, and its tensor product version with a change of basis.
Septik b spline kollokasyon sonlu elemanlar yöntemi ile genelleştirilmiş eşit genişlikli gew ve genelleştirilmiş düzenli uzun grlw dalga denklemlerinin sayısal çözümleri

Karakoç, Seydi Battal Gazi; Yazlık, Yasin; Ak, Turgut (2016)

Bu proje kapsamında GEW ve GRLW denklemlerinin sayısal çözümleri septik B-spline kollokasyon yöntemi ile elde edilecektir.
Solitons and shock waves solutions for the rosenau-kdv-RLW equation

Karakoç, Seydi Battal Gazi; Gao, Fuzheng; Kumar, Samir Kumar (2018)

In this article, a space time numerical scheme has been proposed to approximate solutions of the nonlinear Rosenau-Korteweg-de Vries-Regularized Long Wave (Rosenau-KdV-RLW) equation which represents the dynamics of shallow ...
Solvability of a (k + l)-order nonlinear difference equation

Kara, Merve; Yazlik, Yasin (2021)

It is shown that the following (k + l)-order nonlinear difference equation xn = xn−kxn−k−l xn−l (an + bnxn−kxn−k−l) , n ∈ N0, where k, l ∈ N, (an)n∈N0 , (bn)n∈N0 and the initial values x−i, i = 1, k + l, are real ...
Solvability of a system of higher order nonlinear difference equations

Kara, Merve; Tollu, Durhasan Turgut; Yazlik, Yasin (Hacettepe Journal of Mathematics and Statistics, 2020)

In this paper we show that the system of difference equations xn = ayn−k + dyn−kxn−(k+l) bxn−(k+l) + cyn−l , yn = αxn−k + δxn−kyn−(k+l) βyn−(k+l) + γxn−l , where n ∈ N0, k and l are positive integers, the parameters ...
Solvability of a system of nonlinear difference equations of higher order

Kara, Merve; Yazlık, Yasin (2019)
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 ...
The m−Extension of Fibonacci and Lucas p−Difference Sequences

Köme, Cahit; Yazlık, Yasin (2019)
Theoretical and computational structures on solitary wave solutions of Benjamin Bona Mahony-Burgers equation

Karakoç, Seydi Battal Gazi; Ali, Kalid K. (2021)

This paper aims to obtain exact and numerical solutions of the nonlinear Benjamin Bona Mahony-Burgers (BBM-Burgers) equation. Here, we propose the modi ed Kudryashov method for getting the exact traveling wave solutions ...