FOURTH-ORDER AND OPTIMISED FINITE DIFFERENCE SCHEMES FOR THE 2-D WAVE EQUATION

Brian Hamilton, Stefan Bilbao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper investigates some fourth-order accurate explicit finite
difference schemes for the 2-D wave equation obtained using 13-,
17-, 21-, and 25-point discrete Laplacians. Optimisation is conducted
in order to minimise numerical dispersion and computational
costs. New schemes are presented that are more computationally
efficient than nine-point explicit schemes at maintaining
less than one percent wave speed error up to some critical frequency.
Simulation results are presented.
Original languageEnglish
Title of host publicationProceedings of the 16th International Conference on Digital Audio Effects
Place of PublicationMaynooth, Ireland
Number of pages8
Publication statusPublished - Sep 2013

Fingerprint

Dive into the research topics of 'FOURTH-ORDER AND OPTIMISED FINITE DIFFERENCE SCHEMES FOR THE 2-D WAVE EQUATION'. Together they form a unique fingerprint.

Cite this