Two-level compact implicit schemes for three-dimensional parabolic problems

DOI10.1016/j.camwa.2009.02.036zbMath1189.65196OpenAlexW2043331853MaRDI QIDQ980063

J. Martínez

Publication date: 28 June 2010

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

Full work available at URL: http://psasir.upm.edu.my/id/eprint/17503/1/Two.pdf

zbMATH Keywords

stabilityhigh-order compact schemeparabolic partial differential equationmixed derivativeCrank-Nicolson integrator

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

A HYBRID NUMERICAL TECHNIQUE FOR SOLVING THREE-DIMENSIONAL SECOND-ORDER PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS ⋮ Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives ⋮ Compact higher order discretization of 3D generalized convection diffusion equation with variable coefficients in nonuniform grids ⋮ Combined compact difference scheme for linear second-order partial differential equations with mixed derivative ⋮ Compact difference scheme for parabolic and Schrödinger-type equations with variable coefficients ⋮ A new high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations

Uses Software

• ITSOL
• SPARSKIT

Cites Work

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