Second-order robust finite difference method for singularly perturbed Burgers' equation

Abstract

In this paper, a second-order robust method for solving singularly perturbed Burgers' equation were presented. To find the numerical approximation, we apply the quasilinearization technique before formulation of the scheme. The obtained experimental results show that the presented method has better numerical accuracy and convergence as compared to some existing methods in the literature. Thus, the present method provides an accurate solution and efficient to solve the singularly perturbed Burgers' equation.

Keywords

• Singularly perturbed
• Burgers' equation
• Accurate solution