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Journal of Applied Mathematics and Computing

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07-11-2019 | Original Research

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

Authors: Neelesh Kumar, Ritesh Kumar Dubey

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2020

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Abstract

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.

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Title: A new development of sixth order accurate compact scheme for the Helmholtz equation
Authors: Neelesh Kumar
Ritesh Kumar Dubey
Publication date: 07-11-2019
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2020
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-019-01301-x

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