Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632574 | Applied Mathematics and Computation | 2009 | 9 Pages |
Abstract
In this paper, we develop an accurate and efficient Haar wavelet solution of Fisher’s equation, a prototypical reaction–diffusion equation. The solutions of Fisher’s equation are characterized by propagating fronts that can be very steep for large values of the reaction rate coefficient. There is an ongoing effort to better adapt Haar wavelet methods to the solution of differential equations with solutions that resemble shock waves or fronts typical of hyperbolic partial differential equations. Moreover the use of Haar wavelets is found to be accurate, simple, fast, flexible, convenient, small computation costs and computationally attractive.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
G. Hariharan, K. Kannan, K.R. Sharma,