Numerical Schemes for Solving One-dimensional Transport Equation

Authors

  • Settapat Chinviriyasit Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand.
  • Jirapa Khamta Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand.

Keywords:

finite element method, Runge-Kutta method, transport equation, finite difference method, Pade′ approximations

Abstract

The numerical manners based on finite element and finite difference methods for solving onedimensional transport equation are presented. The results of both schemes are compared. The finite difference method is developed by replacing the space derivative with the backward difference to obtain a system of differential equation. Finite difference approximation is estimated via Pade′ approximant. The finite difference method is unconditionally stable. Finite element method is applied to obtain system of ordinary differential equation and the system is solved by the forth-order Runge- Kutta method. The numerical approximation of both methods are demonstrated good agreement with the analytical solution.

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Published

2007-12-31

How to Cite

Settapat Chinviriyasit, and Jirapa Khamta. 2007. “Numerical Schemes for Solving One-Dimensional Transport Equation”. Agriculture and Natural Resources 41 (5). Bangkok, Thailand:203-10. https://li01.tci-thaijo.org/index.php/anres/article/view/244369.

Issue

Vol. 41 No. 5 (2007): January-December

Section

Research Article

License

online 2452-316X print 2468-1458/Copyright © 2022. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/),
production and hosting by Kasetsart University of Research and Development Institute on behalf of Kasetsart University.