A Differential Quadrature Based Numerical Method for Highly Accurate Solutions of Burgers' Equation

被引：20
|
作者：
Aswin, V. S. [1 ]
Awasthi, Ashish [1 ]
Rashidi, Mohammad Mehdi [2 ]
机构：
[1] Natl Inst Technol Calicut, Dept Math, Calicut 673601, Kerala, India
[2] Univ Birmingham, Dept Civil Engn, Birmingham B15 2TT, W Midlands, England
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 33卷 / 06期
关键词：
Burgers 'equation; polynomial based differential quadrature method; Chebyshev-Gauss-Lobatto grid; quasilinearization; highly accurate numerical scheme; FINITE-ELEMENT APPROACH; COLLOCATION METHOD; HEAT-TRANSFER; SENSITIVITY-ANALYSIS; REYNOLDS-NUMBER; B-SPLINES; SCHEME; SURFACE; SIMULATION; CONVECTION;
D O I：
10.1002/num.22178
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce a new, simple, and accurate computational technique for one-dimensional Burgers' equation. The idea behind this method is the use of polynomial based differential quadrature (PDQ) for the discretization of both time and space derivatives. The quasilinearization process is used for the elimination of nonlinearity. The resultant scheme has simulated for five classic examples of Burgers' equation. The simulation outcomes are validated through comparison with exact and secondary data in the literature for small and large values of kinematic viscosity. The article has deduced that the proposed scheme gives very accurate results even with less number of grid points. The scheme is found to be very simple to implement. Hence, it applies to any domain requires quick implementation and computation. (c) 2017 Wiley Periodicals, Inc.
引用
收藏
页码：2023 / 2042
页数：20
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