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Research Article | Open Access

A new ADI-IIM scheme for solving two-dimensional wave equation with discontinuous coefficients

Ruitao Liu, Wanshan Li( )
School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, China
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Abstract

A new alternating direction implicit immersed interface method (ADI-IIM) scheme was developed to solve the two-dimensional wave equation with discontinuous coefficients and sources. The alternating direction implicit (ADI) method was equipped with the immersed interface method (IIM) to recover the accuracy as well as maintaining the stability. Numerical experiments were carried out to verify the unconditional stability and the second-order accuracy both in time and space of the proposed scheme.

Keywords

alternating direction implicit methodimmersed interface methoddiscontinuous coefficientssecond-order accuracyunconditional stability
CLC number: 65M06

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 31180-31197
DOI: 10.3934/math.20241503

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Liu R, Li W. A new ADI-IIM scheme for solving two-dimensional wave equation with discontinuous coefficients. AIMS Mathematics, 2024, 9(11): 31180-31197. https://doi.org/10.3934/math.20241503

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Received: 30 August 2024
Revised: 21 October 2024
Accepted: 29 October 2024
Published: 01 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)