Optimal finite difference schemes for a wave equation

被引：4
作者：
Mastryukov A.F. [1 ]
机构：
[1] Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk
来源：
Numerical Analysis and Applications | 2016年 / 9卷 / 4期
关键词：
accuracy; electromagnetic wave; finite-difference; iterations; Laguerre method; linear system of equations; optimal; wave equation;
D O I：
10.1134/S1995423916040042
中图分类号：
学科分类号：
摘要：
In this paper, a solution to a two-dimensional wave equation using the Laguerre transform is considered. Optimal parameters of finite difference schemes for this equation are obtained. Numerical values of these optimal parameters are specified. Second-order finite difference schemes with the optimal parameters provide an accuracy of solving the equations close to that provided by a fourth-order scheme. It is shown that using the Laguerre decomposition can reduce the number of optimal parameters in comparison with using the Fourier decomposition. This simplifies the finite difference schemes and decreases the number of calculations, that is, makes the algorithm more efficient. © 2016, Pleiades Publishing, Ltd.
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页码：299 / 311
页数：12
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