On the numerical solution of Burgers-Fisher equation by the Strang Splitting Method

Abstract

In this paper, we apply the Strang splitting method to approximate the solution of Burgers-Fisher equation. This method offers a second-order accurate approximation to evolution equation by combining two non-commuting operators. This accuracy is achieved through a symmetric decomposition in which one operator is applied twice for half timesteps, and the other operator is applied once for a full timestep. The stability criteria is derived using the invariant region. The numerical results obtained are compared with the exact solution. The numerical error shows that the exact and the numerical solution are agrees with each other with a good accuracy.