High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients

DOI10.1016/S0377-0427(97)00223-9zbMath0904.65085MaRDI QIDQ1392786

Ranjan Kumar Mohanty

Publication date: 26 January 1999

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

zbMATH Keywords

stabilityNavier-Stokes equationsnumerical examplesfinite difference schemesADI methodsheat conduction equation

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) 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) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation ⋮ 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 ⋮ A new high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations

Cites Work

• High order difference methods for heat equation in polar cylindrical coordinates
• The operator compact implicit method for parabolic equations
• On the numerical treatment of the Navier-Stokes equations for an incompressible fluid
• An Unconditionally Stable Convergent Finite Difference Method for Navier–Stokes Problems on Curved Domains
• Fourth-order difference methods for the system of 2D nonlinear elliptic partial differential equations
• The numerical solution of the two-dimensional unsteady navier-stokes equations using fourth-order difference method
• Fourth-order finite difference method for three-dimensional elliptic equations with nonlinear first-derivative terms
• The solution of the three-dimensional Navier-Stokes equations using a new finite difference approach
• Technical note: The numerical solution of the system of 3‐D nonlinear elliptic equations with mixed derivatives and variable coefficients using fourth‐order difference methods
• Fourth order operator splitting method for the three space parabolic equation with variable coefficients

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