IJPAM: Volume 70, No. 3 (2011)

GALERKIN-FINITE ELEMENT METHOD FOR
THE NUMERICAL SOLUTION OF
ADVECTION-DIFFUSION EQUATION

Dinkar Sharma$^1$, Ram Jiwari$^2$, Sheo Kumar$^3$
$^{1,2,3}$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 $L_{\infty}$ 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