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

Autor: Ruitao Liu, Wanshan Li
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 11, Pp 31180-31197 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241503?viewType=HTML
Popis: 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.
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