Ozlem Ersoy

Numerical solutions of the reaction diffusion system by using exponential cubic B-spline collocation algorithms

Abstract The solutions of the reaction-diffusion system are given by method of collocation based on the exponential B-splines. Thus the reaction-diffusion systemturns into an iterative banded algebraic matrix equation. Solution of the matrix equation is carried out byway of Thomas algorithm. The present methods test on both linear and nonlinear problems. The results are documented to compare with some earlier studies by use of L∞ and relative error norm for problems respectively.

The Exponential Cubic B-Spline Algorithm for Korteweg-de Vries Equation

The exponential cubic B-spline algorithm is presented to find the numerical solutions of the Korteweg-de Vries (KdV) equation. The problem is reduced to a system of algebraic equations, which is solved by using a variant of Thomas algorithm. Numerical experiments are carried out to demonstrate the efficiency of the suggested algorithm.

Exponential B-Splines for Numerical Solutions to Some Boussinesq Systems for Water Waves

In the study, the collocation method based on exponential cubic B-spline functions is proposed to solve one dimensional Boussinesq systems numerically. Two initial boundary value problems for Regularized and Classical Boussinesq systems modeling motion of traveling waves are considered. The accuracy of the method is validated by measuring the error between the numerical and analytical solutions. The numerical solutions obtained by various values of free parameter

The exponential cubic B-spline algorithm for Fisher equation

p

The Exponential Cubic B-Spline Collocation Method for the Kuramoto-Sivashinsky Equation

are compared with some solutions in literature.In the study, the collocation method based on exponential cubic B-spline functions is proposed to solve one-dimensional Boussinesq systems numerically. Two initial boundary value problems for Regularized and Classical Boussinesq systems modeling motion of traveling waves are considered. The accuracy of the method is validated by measuring the error between the numerical and analytical solutions. The numerical solutions obtained by various values of free parameter

A Trigonometric Cubic B-spline Finite Element Method for Solving the Nonlinear Coupled Burger Equation

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The Exponential Cubic B-spline Algorithm for Burgers's Equation

ζ are compared with some solutions in literature. Numerical behavior of solitary waves under small perturbations is also studied.