A new fourth order compact difference scheme for one dimensional advection diffusion equation.

Z. Zafar; M. T. Hussain; A. Pervaiz; M. O. Ahmad; M. Kalim

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A new fourth order compact difference scheme for one dimensional advection diffusion equation.

Author(s)

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

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

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

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

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.

Publication Details

Page(s) 359-362

DOI DOI not available

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

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