Numerical study of reaction diffusion Fisher’s equation by fourth order cubic B-spline collocation method

Abstract

Fourth-order B-spline collocation method has been applied for numerical study of Fisher’s equation which represents several important phenomena such as biological invasions, reaction diffusion in chemical processes and neutron multiplication in nuclear reactions, etc. Results are found to be better than second-order B-spline collocation method. It is observed that when time becomes sufficiently large, local initial disturbance propagates with constant limiting speed. Proposed method is satisfactorily efficient in terms of accuracy and stability.