Abstract. The aim of this paper is to present the semi-analytical method known as differential transform method (DTM) for solving various linear and non linear convection diffusion and reaction convection problems, arising in physics, where particles, energy, or other physical quantities are transferred inside a physical system due to two process: Diffusion and convection. To illustrate the capability and reliability of the method, some cases have been discussed. The solution has been obtaining in form of series solution which can be easily converted into the exact solution.

Received: May 8, 2016

Revised: June 9, 2016

Published: October 1, 2016

AMS Subject Classification: 35C05, 35E15, 35F10

Key Words and Phrases: linear convection diffusion equation, non-linear convection diffusion equation, differential transform method
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DOI: 10.12732/ijpam.v109i3.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 3
Pages: 529 - 538

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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