LAUSR

In this paper, polynomial based differential quadrature method is employed to construct the framework of three numerical schemes for reaction–diffusion problems. Finite difference methods are also used in conjunction with differential quadrature in two of the schemes. The schemes are validated through simulations of well known classical examples of Fisher’s equation. The accuracy of the numerical results, computational time are studied in detail. The flexibility of schemes to handle higher order derivatives is illustrated by applying the schemes for the extended Fisher–Kolmogorov equation. Moreover, it is found that the use of differential quadrature assures simple and convenient mathematical formulation and implementation of the schemes.