Usage of Higher Order B-splines in Numerical Solution of Fisher’s Equation
نویسندگان
چکیده
In this paper, the collocation method is performed with quintic B-spline functions on a uniform mesh to obtain the numerical solutions of Fisher’s equation. Crank-Nicolson method is used for time discretization. Von Neumann stability analysis shows that the given method is conditionally stable. In order to observe the effects of reaction and diffusion, four test problems related to pulse disturbance, step disturbance, super-speed wave and strong reaction are studied. A comparison between the obtained results and some earlier studies is presented.
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