A new development of sixth order accurate compact scheme for the Helmholtz equation

被引：14

作者：

Kumar, Neelesh ^{[1
]}

Dubey, Ritesh Kumar ^{[2
,3
]}

机构：

[1] SRM Inst Sci & Technol, Res Inst, Kancheepuram 603203, Tamil Nadu, India

[2] SRM Inst Sci & Technol, Res Inst, Kattankulathur 603203, Tamil Nadu, India

[3] SRM Inst Sci & Technol, Dept Math, Kattankulathur 603203, Tamil Nadu, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2020年 / 62卷 / 1-2期

关键词：

Finite difference methods; Compact schemes; Convergence; Helmholtz equations; Wave number; FINITE-DIFFERENCE SCHEMES; HIGH WAVE-NUMBER; ELEMENT SOLUTION; 6TH-ORDER; VERSION; 2D;

D O I：

10.1007/s12190-019-01301-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A standard sixth order compact finite difference scheme for two dimensional Helmholtz equation is further improved and a more accurate scheme is presented for the two dimensional Helmholtz equation which is also compact. The novel feature of the present scheme is that it is less sensitive to the associated wave number when compared with that for available sixth order schemes. Theoretical analysis is presented for the newly constructed scheme. The high accuracy of the proposed scheme is illustrated by comparing numerical solutions for solving the two dimensional Helmholtz equations using available sixth-order schemes and the present scheme.

引用

页码：637 / 662

页数：26

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