Simple and Highly-Accurate Scheme for Advection-Diffusion Equation

Abstract

A simple and highly-accurate scheme for solving the advection-diffusion equation is proposed in this paper. The proposed scheme is named HORNET scheme. The several model computations are carried out to verify the high performance of the scheme. From the results, It is found that the present scheme has almost the same accuracy as the existing highly-accurate scheme and will be easily treated because of its compactness.