In this study, we developed a new numerical finite difference method for solving various diffusion convection equations. The method involves reduction of the diffusion convection equations to a system of algebraic equations. By solving the system of algebraic equations we obtain the problem approximate solutions. The study of the numerical accuracy of the method has shown that the method provides similar results to the known explicit finite difference method for solving diffusion convection equations, but with fewer numbers of iterations.
Key words: Lines, multistep collocation, parabolic, Taylor’s polynomial.
Copyright © 2018 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0