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

DOI10.1007/s12190-019-01301-xzbMath1475.65167OpenAlexW2986318811WikidataQ126815895 ScholiaQ126815895MaRDI QIDQ2053305

Ritesh Kumar Dubey, Neelesh Kumar

Publication date: 29 November 2021

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01301-x

zbMATH Keywords

convergencewave numberfinite difference methodsHelmholtz equationscompact schemes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05)

Related Items (8)

High Order Compact Schemes for Flux Type BCs ⋮ Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations ⋮ A sixth order quasi-compact finite difference method for Helmholtz equations with variable wave numbers ⋮ BARYCENTRIC RATIONAL INTERPOLATION METHOD OF THE HELMHOLTZ EQUATION WITH IRREGULAR DOMAIN ⋮ High-order compact finite difference methods for solving the high-dimensional Helmholtz equations ⋮ Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: application to bi- and tri-harmonic boundary value problems ⋮ New Sixth-Order Compact Schemes for Poisson/Helmholtz Equations ⋮ A new finite difference scheme for the 3D Helmholtz equation with a preconditioned iterative solver

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