IJPAM: Volume 70, No. 3 (2011)
THE NUMERICAL SOLUTION OF
Department of Mathematics
Dr. B.R. Ambedkar National Institute of Technology
Jalandhar, Punjab, 144011, INDIA
Abstract. In this article, Galerkin-finite element method is proposed to find the numerical solutions of advection-diffusion equation. The equation is generally used to describe mass, heat, energy, velocity, vorticity etc. As test problem, three different solutions of advection-diffusion equation are chosen. Maximum errors norm are calculated and found that the errors are small and negligible.
Received: March 15, 2011
AMS Subject Classification: 65Mxx, 65Nxx
Key Words and Phrases: finite element method, finite difference method, advection-diffusion equation
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395