A new fourth order compact difference scheme for one dimensional advection diffusion equation. | [Pakistan Journal of Science • 2012]

Author(s):

1. Z. Zafar: Faculty of Engineering, University of Central Punjab, Lahore, Pakistan

2. M. T. Hussain: Faculty of Engineering, University of Central Punjab, Lahore, Pakistan

3. A. Pervaiz: Department of Mathematics, University of Engineering & Technology, Lahore, Pakistan

4. M. O. Ahmad: Department of Mathematics, University of Engineering & Technology, Lahore, Pakistan

5. M. Kalim: Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan

Abstract:

In this paper we intend a three level compact difference scheme of (??2, h4), for the difference solution of one dimensional second order homogeneous linear Advection Diffusion Equation ?????? - ?? ?? ????=1 ?? ??, 0 0, where ??, ?? > 0 and ?? ? 0 . Example is tested to demonstrate the effectiveness of the new difference scheme numerically.

Page(s): 359-362

DOI: DOI not available

Published: Journal: Pakistan Journal of Science, Volume: 64, Issue: 4, Year: 2012

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