A Numerical Study of Diffusion-Convection Equations

DOI

10.2991/miseic-19.2019.17How to use a DOI?

Keywords

diffusion-convection, LTDRM, numerical solutions

Abstract

In this paper, problems involving time-dependent diffusion-convection equation are studied. To study these problems, a numerical method is employed to solve the equation numerically. The method used in this research is a Laplace Transform Dual Reciprocity Method (LTDRM). Using this method, the time-dependent problem is transformed into a time-independent problem, which is easier to solve. A problem with the analytic solution is presented and solved using this method to analyze the accuracy of the method. Furthermore, a problem without an analytic solution is solved using the method. Results obtained are presented and discussed.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Imam Solekhudin
PY  - 2019/12
DA  - 2019/12
TI  - A Numerical Study of Diffusion-Convection Equations
BT  - Proceedings of the Mathematics, Informatics, Science, and Education International Conference (MISEIC 2019)
PB  - Atlantis Press
SP  - 43
EP  - 47
SN  - 2352-538X
UR  - https://doi.org/10.2991/miseic-19.2019.17
DO  - 10.2991/miseic-19.2019.17
ID  - Solekhudin2019/12
ER  -