Numerical Methods for Advection Problem

Authors

  • Diogene Vianney Pongui Ngoma
  • Germain Nguimbi Marien ngouabi university
  • Vital Delmas Mabonzo
  • Narcisse Batangouna

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i1.3619

Keywords:

Advection problem, truncation error, stability, convergence, Lax- Wendrof and finite difference méthods.

Abstract

This work is part of mathematical modeling and numerical analysis. This paper aims is to solve an advection problem where u=u(x; t) is the solution by Lax-Wendrof and nite dierence methods, to study the analytical stability in L2[0;1], L1[0; 1], then calculate the truncation error of these methods and nally study the analytical convergence of these methods. These numerical techniques of resolution were implemented in Scilab.

Author Biography

  • Germain Nguimbi, Marien ngouabi university
    Ecole Nationale Supérieure Polytechnique, Université Marien NGOUABI, departement de Licences

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Published

2020-01-31

Issue

Vol. 13 No. 1: (January 2020)

Section

Nonlinear Analysis

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How to Cite

Numerical Methods for Advection Problem. (2020). European Journal of Pure and Applied Mathematics, 13(1), 144-157. https://doi.org/10.29020/nybg.ejpam.v13i1.3619