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This article is cited in 1 scientific paper (total in 1 paper)
A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers' equation
R. K. Mohantya, J. Talwarb a 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.
Received: 08.08.2014 Revised: 08.01.2015
Citation:
R. K. Mohanty, J. Talwar, “A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers' equation”, Sib. Zh. Vychisl. Mat., 18:4 (2015), 389–405; Num. Anal. Appl., 8:4 (2015), 314–328
Linking options:
https://www.mathnet.ru/eng/sjvm591 https://www.mathnet.ru/eng/sjvm/v18/i4/p389
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Abstract page: | 163 | Full-text PDF : | 46 | References: | 23 | First page: | 9 |
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