The Numerical Approach to the Fisher's Equation via Trigonometric Cubic B-spline Collocation Method
This work provides an alternative numerical technique for solving Fisher's equation, which is important in population biology, but the improvement over existing methods is not quantified.
The authors developed a numerical method for solving Fisher's equation using trigonometric cubic B-spline functions and Crank-Nicolson time integration, demonstrating accuracy through numerical results.
In this study, we set up a numerical technique to get approximate solutions of Fisher's equation which is one of the most important model equation in population biology. We integrate the equation fully by using combination of the trigonometric cubic B-spline functions for space variable and Crank-Nicolson for the time integration. Numerical results have been presented to show the accuracy of the current algorithm. We have seen that the proposed technique is a good alternative to some existing techniques for getting solutions of the Fisher's equation.