1. High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems.
- Author
-
Xiujie Lv, Jinggang Qin, and TongkeWang
- Subjects
- *
NUMERICAL analysis , *BOUNDARY value problems , *DIFFERENTIAL equations , *MATHEMATICS , *ALGORITHMS , *SIMULATION methods & models , *WAVE analysis - Abstract
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 highorder compact PRADI likemethod. Both of themhave 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. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF