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.

引用

页码：299 / 311

页数：12

共 50 条

[1] Implementation of finite difference schemes for the wave equation on FPGA
Motuk, E
Woods, R
Bilbao, S
2005 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS 1-5: SPEECH PROCESSING, 2005, : 237 - 240
[2] Parameterized families of finite difference schemes for the wave equation
Bilbao, S
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2004, 20 (03) : 463 - 480
[3] THE CONVERGENCE OF FINITE-DIFFERENCE SCHEMES FOR THE WAVE-EQUATION
JOVANOVIC, BS
IVANOVIC, LD
SULI, EE
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1986, 66 (05): : T308 - T309
[4] Fourth order symmetric finite difference schemes for the acoustic wave equation
Zemui, A
BIT NUMERICAL MATHEMATICS, 2005, 45 (03) : 627 - 651
[5] Finite difference schemes for the two-dimensional semilinear wave equation
Achouri, Talha
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2019, 35 (01) : 200 - 221
[6] Fourth Order Symmetric Finite Difference Schemes for the Acoustic Wave Equation
Abraham Zemui
BIT Numerical Mathematics, 2005, 45 : 627 - 651
[7] Two finite difference schemes for time fractional diffusion-wave equation
Jianfei Huang
Yifa Tang
Luis Vázquez
Jiye Yang
Numerical Algorithms, 2013, 64 : 707 - 720
[8] Stability for the finite difference schemes of the linear wave equation with nonuniform time meshes
Cho, Chien-Hong
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2013, 29 (03) : 1031 - 1042
[9] Geometric finite difference schemes for the generalized hyperelastic-rod wave equation
Cohen, David
Raynaud, Xavier
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (08) : 1925 - 1940
[10] Nonlinear and Linear Conservative Finite Difference Schemes for Regularized Long Wave Equation
Koide, Satoshi
Furihata, Daisuke
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2009, 26 (01) : 15 - 40

← 1 2 3 4 5 →