IJPAM: Volume 70, No. 3 (2011)
GALERKIN-FINITE ELEMENT METHOD FOR
THE NUMERICAL SOLUTION OF
ADVECTION-DIFFUSION EQUATION
THE NUMERICAL SOLUTION OF
ADVECTION-DIFFUSION EQUATION
Dinkar Sharma
, Ram Jiwari
, Sheo Kumar
Department of Mathematics
Dr. B.R. Ambedkar National Institute of Technology
Jalandhar, Punjab, 144011, INDIA




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
Year: 2011
Volume: 70
Issue: 3