Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Ozlem, Ersoy"'
Autor:
Korkmaz, Alper, Hepson, Ozlem Ersoy
The conformable time fractional Jimbo-Miwa and Zakharov-Kuznetsov equations are solved by the generalized form of the Kudryashov method. A simple compatible wave transformation is employed to reduce the dimension of the equations to one. The predicte
Externí odkaz:
http://arxiv.org/abs/1706.00349
Two cubic B-spline functions from different families are placed to the collocation method for the numerical solutions to the Gardner equation.Four models describing propagation of bell shaped single solitary, travel of a kink type wave, wave generati
Externí odkaz:
http://arxiv.org/abs/1703.00191
The exponential B-spline basis function set is used to develop a collocation method for some initial boundary value problems (IBVPs) to the Gardner equation. The Gardner equation has two nonlinear terms, namely quadratic and cubic ones. The order red
Externí odkaz:
http://arxiv.org/abs/1702.06172
The extended definition of the polynomial B-splines may give a chance to improve the results obtained by the classical cubic polynomial B-splines. Determination of the optimum value of the extension parameter can be achieved by scanning some interval
Externí odkaz:
http://arxiv.org/abs/1702.02776
Numerical Solution of Singularly Perturbed Problems via both Galerkin and Subdomain Galerkin methods
Autor:
Hepson, Ozlem Ersoy, Dag, Idris
In this paper, numerical solutions of singularly perturbed boundary value problems are given by using variants of finite element method. Both Galerkin and subdomain Galerkin method based on quadratic B-spline functions are applied over the geometrica
Externí odkaz:
http://arxiv.org/abs/1702.02328
The extended form of the classical polynomial cubic B-spline function is used to set up a collocation method for some initial boundary value problems derived for the Korteweg-de Vries-Burgers equation. Having nonexistence of third order derivatives o
Externí odkaz:
http://arxiv.org/abs/1701.02893
Autor:
Hepson, Ozlem Ersoy
A recent type of B-spline functions, namely trigonometric cubic B-splines, are adapted to the collocation method for the numerical solutions of the Kuramoto-Sivashinsky equation. Having only first and second order derivatives of the trigonometric cub
Externí odkaz:
http://arxiv.org/abs/1612.03586
Autor:
Hepson, Ozlem Ersoy
In this study collocation method based on the extended B-spline functions for the numerical solutions of the Generalized Burhers Fisher equation is set up. The approximate solution of the equation is constructed with the combination of the extended B
Externí odkaz:
http://arxiv.org/abs/1612.03333
In the present study, we solve initial boundary value problem construted on nonlinear Klein-Gordon equation. The collocation method on exponential cubic B-spline functions forming a set of basis for the functions defined in the same interval is set u
Externí odkaz:
http://arxiv.org/abs/1610.05649