Numerical approximation of 1D and 2D reaction diffusion system with modified cubic UAH tension B-spline DQM

Abstract

In this paper, a new numerical approach “Modified cubic UAH tension B-spline DQM” is projected to find the numerical approximation of 1D and 2D Reaction-Diffusion system. The modified cubic UAH tension B-spline is used in space to discretize the partial derivatives. The obtained system of ODE is dealt with SSP-RK43 scheme. To check the adaptability and efficiency of the proposed scheme, five numerical examples are discussed. The present method is easy to implement and economical as compared to the existing approaches available in literature for different types of linear and non-linear PDEs.