Two-time level ADI finite volume method for a class of second-order hyperbolic problems

DOI10.1016/j.amc.2009.10.011zbMath1186.65120OpenAlexW2092425488MaRDI QIDQ846419

Min Yang

Publication date: 9 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.011

zbMATH Keywords

error estimatesfinite volume methodnumerical examplesfinite volumealternating direction implicit methodCrank-Nicholson approachhyperbolic problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (3)

An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection ⋮ An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems ⋮ A theoretical analysis of a new finite volume scheme for second order hyperbolic equations on general nonconforming multidimensional spatial meshes

Cites Work

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