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 distur...

Given a triangulation 4 of a polygonal domain, we nd a reenement of 4 by choosing u t in a neighborhood of the center of the inscribed circle of each triangle t 2 4, connecting u t to the vertices of the triangle t, and connecting u t to u t 0 if t 0 2 4 shares an interior edge with t or to the midpoint v e of any boundary edge e of t. The resulting triangulation is a triangulation of Powell-Sa...