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Corpus ID: 119007249

Exp-function method for solving the Burgers-Fisher equation with variable coefficients

@article{Chen2010ExpfunctionMF,
title={Exp-function method for solving the Burgers-Fisher equation with variable coefficients},
author={Bokui Chen and Yanguang Charles Li and Hangming Chen and Bing-Hong Wang},
journal={arXiv: Exactly Solvable and Integrable Systems},
year={2010}
}

In this paper, the exp-function method with the aid of symbolic computational system is used to obtain generalized travelling wave solutions of a Burgers-Fisher equation with variable coefficients. It is shown that the exp-function method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool to solve the nonlinear evolution equation with variable coefficients in mathematical physics.

In this paper, an implicit finite difference method based on the Crank–Nicolson method is proposed for the numerical solution of the one-dimensional Burger–Fisher equation. The Crank–Nicolson scheme… Expand