Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of Fisher equation
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Date
2021
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Maltepe Üniversitesi
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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.
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Citation
Dag, I. ve Ersoy Hepson, O. (2021). Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of Fisher equation. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-5.