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A Comperative Numerical Study Based on Cubic Polynomial and Trigonometric B-splines for the Gardner Equation
Ozlem Ersoy Hepson, Alper Korkmaz, Idiris Dag
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…
Numerical Solutions of the Gardner Equation by Extended Form of the Cubic B-splines
Ozlem Ersoy Hepson, Alper Korkmaz, Idris Dag
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 valu…
Numerical Solution of Singularly Perturbed Problems via both Galerkin and Subdomain Galerkin methods
Ozlem Ersoy Hepson, Idris Dag
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…
Extended B-Spline Collocation Method For KdV-Burgers Equation
Ozlem Ersoy Hepson, Alper Korkmaz, Idris Dag
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 Vr…
Generation of the Trigonometric Cubic B-Spline Collocation Solutions for the Kuramoto-Sivashinsky(KS) Equation
Ozlem Ersoy Hepson
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. H…
An Extended Cubic B-spline Finite Element Method for Solving Generalized Burgers-sher Equation
Ozlem Ersoy Hepson
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…