A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers' equation
Ranjan Kumar Mohanty1,2, Jyoti Talwar1
1South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi, 110021, India
2University of Delhi, Delhi, 110007, India
Keywords: нелинейное параболическое уравнение, вязкий поток, компактный метод AGE, уравнение Бюргерса, число Рейнольдса, non-linear parabolic equation, viscous flow, Compact AGE Method, Burgers' equation, Reynolds number
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.
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