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. ...

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 ...

In recent years, many researchers have studied hyperbolic Fibonacci functions and some special polynomials, which are important areas of mathematics. In this study, we give an extension of the Euler polynomials in order ...

In this paper, we generalize the known Gauss Pell-Lucas numbers, and call such numbers as the generalized Gauss k-Pell-Lucas numbers. We obtain relations between the family of the generalized Gauss k-Pell-Lucas numbers ...

In this paper, we show that the following three-dimensional system of difference equations xn = zn−2xn−3 axn−3 + byn−1 , yn = xn−2 yn−3 cyn−3 + dzn−1 , zn = yn−2zn−3 ezn−3 + f xn−1 , n ∈ N0, where the parameters ...

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 ...

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 ...

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 ...

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 ...