This article is cited in 1 paper

A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers' equation

R. K. Mohanty^a, J. Talwar<sup>b

a</sup> Department of Applied Mathematics, South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi, 110021, India
^b Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India

Abstract: In this article, we discuss a new single sweep compact alternating group explicit method for the solution of time dependent viscous Burgers' equation both in Cartesian and polar coordinates. An error analysis for the new iterative method is discussed in detail. We have compared the results of the proposed iterative method with the results of a corresponding double sweep alternating group explicit (AGE) iterative method to demonstrate computationally the efficiency of the proposed method.

Key words: non-linear parabolic equation, viscous flow, Compact AGE Method, Burgers' equation, Reynolds number.

MSC: 65L10, 65L12

Received: 08.08.2014
Revised: 08.01.2015

DOI: 10.15372/SJNM20150405

 English version: Numerical Analysis and Applications, 2015, 8:4, 314–328

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