Open Access
2013 High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems
Xiujie Lv, Jinggang Qin, Tongke Wang
J. Appl. Math. 2013: 1-11 (2013). DOI: 10.1155/2013/267106


This paper is concerned with accurate and efficient numerical methods for solving viscous and nonviscous wave problems. The paper first introduces a new second-order PR-ADI like scheme. For an efficient simulation, the scheme is also extended to a high-order compact PRADI like method. Both of them have the advantages of unconditional stability, less impact of the perturbing terms on the accuracy, and being convenient to compute the boundary values of the intermediates. Besides this, the compact scheme has high-order accuracy and costs less in computational time. Numerical results are presented to show the accuracy and efficiency of the new algorithms.


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Xiujie Lv. Jinggang Qin. Tongke Wang. "High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems." J. Appl. Math. 2013 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1338.76097
MathSciNet: MR3056225
Digital Object Identifier: 10.1155/2013/267106

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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