An unconditionally stable spatial sixth-order CCD-ADI method for the two-dimensional linear telegraph equation

被引：14

作者：

He, Dongdong ^{[1
]}

机构：

[1] Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2016年 / 72卷 / 04期

关键词：

Linear hyperbolic equation; Combined compact finite difference method; Alternating direction implicit method; COMPACT DIFFERENCE SCHEME; HYPERBOLIC EQUATION; VARIABLE-COEFFICIENTS; NUMERICAL-SOLUTION; FINITE-DIFFERENCE; WAVE-EQUATION; DIFFUSION EQUATIONS; SPACE DIMENSIONS; IMPLICIT SCHEMES; HIGHER-ORDER;

D O I：

10.1007/s11075-015-0082-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The telegraph equation is one of the important models in many physics and engineering. In this work, we discuss the high-order compact finite difference method for solving the two-dimensional second-order linear hyperbolic equation. By using a combined compact finite difference method for the spatial discretization, a high-order alternating direction implicit method (ADI) is proposed. The method is O(tau (2) + h (6)) accurate, where tau, h are the temporal step size and spatial size, respectively. Von Neumann linear stability analysis shows that the method is unconditionally stable. Finally, numerical examples are used to illustrate the high accuracy of the new difference scheme.

引用

页码：1103 / 1117

页数：15

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