Home            Contact us            FAQs
    
      Journal Home      |      Aim & Scope     |     Author(s) Information      |      Editorial Board      |      MSP Download Statistics

     Research Journal of Mathematics and Statistics

    Abstract
2011(Vol.3, Issue:3)
Article Information:

Numerical Studies for Singularly Perturbed Convection Reaction Diffusion Problems in Two Dimensions

N.H. Sweilam, M.M. Khader and F.M. Atlan
Corresponding Author:  Dr. Nasser Hassan Sweilam 
Submitted: 2011 May, 27
Accepted: 2011 August, 05
Published: 2011 September, 25
Abstract:
In this study, we study the numerical solutions of singularly perturbed convection-reaction-diffusion problem over a square. Two different approaches are used to study the problem namely: Finite Element Method (FEM) based on a posteriori error estimate, and Variational Iteration Method (VIM). In this study, we use the adaptive h-refinement based on the a posteriori error estimate. Numerical simulation for the solution of the proposed problem using FEM and VIM is given. From this simulation we can found that the finite element method gives the solution with excellent agreement compared with the exact solution. Also, it's found that VIM is invalid for some values of the perturbed parameter g, but FEM overcome on this shortcoming.

Key words:  A posteriori error estimates, AMS Subject Classification (2000), finite element method, mesh refinement, stationary convection reaction diffusion problem, variational iteration method,
Abstract PDF HTML
Cite this Reference:
N.H. Sweilam, M.M. Khader and F.M. Atlan, . Numerical Studies for Singularly Perturbed Convection Reaction Diffusion Problems in Two Dimensions. Research Journal of Mathematics and Statistics, (3): 97-106.
ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
Submit Manuscript
   Information
   Sales & Services
Home   |  Contact us   |  About us   |  Privacy Policy
Copyright © 2024. MAXWELL Scientific Publication Corp., All rights reserved