IIM-based ADI finite difference scheme for nonlinear convection-diffusion equations with interfaces

DOI10.1016/j.apm.2012.03.047zbMath1352.65248OpenAlexW2013430068MaRDI QIDQ350450

Zhou-shun Zheng, Jian-kang Liu

Publication date: 7 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.03.047

zbMATH Keywords

immersed interface methodAdams-Bashforth methodCartesian gridADI schemelevel set function

Mathematics Subject Classification ID

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) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

Related Items

Pseudo-transient ghost fluid methods for the Poisson-Boltzmann equation with a two-component regularization, A reduced-order immersed interface method based on POD basis for parabolic interface problem, Alternating direction ghost-fluid methods for solving the heat equation with interfaces, On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient, A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems, A matched Peaceman-Rachford ADI method for solving parabolic interface problems, Bernstein-polynomials-based highly accurate methods for one-dimensional interface problems, A multigrid based finite difference method for solving parabolic interface problem, A matched alternating direction implicit (ADI) method for solving the heat equation with interfaces

Uses Software

• IIMPACK

Cites Work

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