| Summary: | In this article, trigonometric B-spline collocation method is used to compute the numerical solution of nonlinear Fisher’s equation, in which the nonlinear term is locally linearized. This equation arises in many biological and chemical processes. The consistency of the proposed method is shown using the concept of stability and convergence and to validate the numerical scheme, the obtained theoretical results for convergence are given. We have simulated certain numerical examples of the Fisher’s equation and compared their results with the exact solutions of the problems. The numerical results are found to be in good agreement with the exact solution. The accuracy and efficiency of the method are discussed by computing L2 and L∞ norm which are represented in the forms of tables and figures. Keywords: Differential equation, Trigonometric B-spline, Collocation method, Fisher’s equation, Stability, Convergence
|
|---|
