Technical note: A fourth-order finite difference scheme for a system of a 2D nonlinear elliptic partial differential equations

DOI<43::AID-NUM3>3.0.CO;2-H 10.1002/1098-2426(200101)17:1<43::AID-NUM3>3.0.CO;2-HzbMath0971.65096OpenAlexW2077767819MaRDI QIDQ4529155

Godfrey Saldanha

Publication date: 26 October 2001

Full work available at URL: https://doi.org/10.1002/1098-2426(200101)17:1<43::aid-num3>3.0.co;2-h

zbMATH Keywords

performancenumerical examplesiterative methodsfinite-difference schemeviscous incompressible flowsteady-state Navier-Stokes equationsquasi-linearsystem of 2-D nonlinear elliptic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Navier-Stokes equations (35Q30) Finite difference methods for boundary value problems involving PDEs (65N06) Complexity and performance of numerical algorithms (65Y20)

Related Items

Fourth-order compact finite difference methods and monotone iterative algorithms for semilinear elliptic boundary value problems, Fourth-Order Compact Finite Difference Methods and Monotone Iterative Algorithms for Quasi-Linear Elliptic Boundary Value Problems, A finite difference method for self-adjoint elliptic equations in three dimensions, Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations, A New Fourth-Order Compact Off-Step Discretization for the System of 2D Nonlinear Elliptic Partial Differential Equations, A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations, A new compact off-step discretization for the system of 2D quasi-linear elliptic equations on unequal mesh, High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain, Single cell discretizations of order two and four for self-adjoint elliptic equations