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5 papers · 1 filter
Numerical approximation of SDEs driven by fractional Brownian motion for all using WIS integration
Utku Erdogan, Gabriel J. Lord, Roy B. Schieven
We examine the numerical approximation of a quasilinear stochastic differential equation (SDE) with multiplicative fractional Brownian motion. The stochastic integral is interprete…
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…
The Numerical Approach to the Fisher's Equation via Trigonometric Cubic B-spline Collocation Method
Ozlem Ersoy, Idris Dag
In this study, we set up a numerical technique to get approximate solutions of Fisher's equation which is one of the most important model equation in population biology. We integra…
The Exponential Cubic B-spline Algorithm for Burgers's Equation
Ozlem Ersoy, Idris Dag, Nihat Adar
The exponential cubic B-spline functions are used to set up the collocation method for finding solutions of the Burgers's equation. The effect of the exponential cubic B-splines in…
The Trigonometric Cubic B-spline Algorithm for Burgers' Equation
I. Dag, O. Ersoy, O. Kacmaz
The cubic Trigonometric B-spline(CTB) functions are used to set up the collocation method for finding solutions of the Burgers' equation. The effect of the CTB in the collocation m…