Application of cubic B-spline collocation method for reaction diffusion Fisher's equation

Document Type : Research Paper


School of Mathematics, Iran University of Science and Technology, Narmak 16844, Tehran, Iran.


In this study, an effective collocation method based on cubic B-spline has been implemented to get the numerical solutions for the non-linear Fisher’s equation. After separating this scheme with this method, the stability of the method was proven. To check the efficiency and accuracy of the proposed method, some numerical problems have been considered. The numerical results are found in good agreement with the exact solutions.