1. Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of Fisher equation.
- Author
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Dag, Idris, Hepson, Ozlem Ersoy, Cakalli, Huseyin, Kocinac, Ljubisa D. R., Ashyralyev, Allaberen, Harte, Robin, Dik, Mehmet, Canak, Ibrahim, Kandemir, Hacer Sengul, Tez, Mujgan, Gurtug, Ozay, Savas, Ekrem, Akay, Kadri Ulas, Ucgun, Filiz Cagatay, Uyaver, Sahin, Ashyralyyev, Charyyar, Sezer, Sefa Anil, Turkoglu, Arap Duran, Onvural, Oruc Raif, and Sahin, Hakan
- Subjects
HYPERBOLIC differential equations ,CRANK-nicolson method ,FINITE element method ,GALERKIN methods ,EQUATIONS - Abstract
A Galerkin finite element method is constructed for computing solution of the Fisher equation. Hyperbolic-trigonometric tension (HTT) B-splines are used as weight and shape functions in the Galerkin approach. Fully discretization of the Fisher equation is fulfilled via Crank-Nicolson method in time and Galerkin method in space. Travelling wave front solution is studied to show robustness of the presented scheme on Fisher equation. The numerical results obtained with the present method are satisfactory with regard to its accuracy. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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