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6 papers · 1 filter
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…
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…
Stability Satisfied Numerical Approximates to the Non-analytical Solutions of the Cubic Schrödinger Equation
Alper Korkmaz
The time dependent complex Schrödinger equation with cubic nonlinearity is solved by constructing differential quadrature algorithm based on sinc functions. Reduction to a coupled…
Solitary wave simulations of the Boussinesq Systems
Ozlem Ersoy, Idiris Dag, Alper Korkmaz
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 p…
Simulations of transport in one dimension
Alper Korkmaz
In this study, two initial boundary value problems for one dimensional advection-dispersion equation are solved by differential quadrature method based on sine cardinal functions.…