A new eighth-order implicit finite difference method to solve the three-dimensional Helmholtz equation

DOI10.1016/j.camwa.2020.06.011zbMath1447.65113OpenAlexW3037545212MaRDI QIDQ2194833

Reymundo Itzá Balam, Miguel Uh Zapata

Publication date: 7 September 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.06.011

zbMATH Keywords

3D Helmholtz equationcompact schemedispersion analysisimplicit finite differenceeighth-order accuracy

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Waves and radiation in optics and electromagnetic theory (78A40)

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Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations ⋮ A fourth-order compact implicit immersed interface method for 2D Poisson interface problems ⋮ A compact sixth-order implicit immersed interface method to solve 2D Poisson equations with discontinuities ⋮ High-order compact finite difference methods for solving the high-dimensional Helmholtz equations

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