Idiris Dag

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

On the numerical solution of the Klein-Gordon equation by exponential cubic B-spline collocation method

{\zeta}

Numerical Solutions of Reaction-Diffusion Equation Systems with Trigonometric Quintic B-spline Collocation Algorithm

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