Two High-Order Correct Difference Analogues for the Equation of Multidimensional Heat Flow

DOI10.2307/2003736zbMath0116.09105OpenAlexW4289258434MaRDI QIDQ5725032

Jim jun. Douglas, J. E. Gunn

Publication date: 1963

Full work available at URL: https://doi.org/10.2307/2003736

zbMATH Keywords

numerical analysis

Related Items (8)

Multilevel difference schemes for the heat conduction equation and its application to the Dirichlet problem in two and three dimensions ⋮ Characteristic fractional step finite difference method for nonlinear section coupled system ⋮ Mixed finite element-second order upwind fractional step difference scheme of Darcy-Forchheimer miscible displacement and its numerical analysis ⋮ Higher-order in time ``quasi-unconditionally stable ADI solvers for the compressible Navier-Stokes equations in 2D and 3D curvilinear domains ⋮ A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems ⋮ The characteristic finite difference fractional step methods for compressible two-phase displacement problem ⋮ Theory and application of numerical simulation method of capillary force enhanced oil production ⋮ The second‐order upwind finite difference fractional steps method for moving boundary value problem of oil‐water percolation

Cites Work

• Alternating direction methods for three space variables
• A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• On the Relation Between Stability and Convergence in the Numerical Solution of Linear Parabolic and Hyperbolic Differential Equations
• A Survey of Numerical Methods for Parabolic Differential Equations

This page was built for publication: Two High-Order Correct Difference Analogues for the Equation of Multidimensional Heat Flow