Accurate Representations of Partial Differential Equations by Finite-difference Schemes

DOI10.1093/imamat/23.1.43zbMath0416.65065OpenAlexW2084503324MaRDI QIDQ3206242

S. C. R. Dennis, J. D. Hudson

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1093/imamat/23.1.43

zbMATH Keywords

numerical examplesecond-order partial differential equationtwo-dimensional Navier-Stokes equationsfinite-difference approximationshigher accuracyhyperbolic typeflow of an incompressible fluid

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

A rational high-order compact difference method for the steady-state stream function-vorticity formulation of the Navier-Stokes equations, A fourth-order compact ADI method for solving two-dimensional unsteady convection--diffusion problems, A study of a numerical solution of the steady two dimensions Navier--Stokes equations in a constricted channel problem by a compact fourth order method., Fourth-order exponential finite difference methods for boundary value problems of convective diffusion type, Difference schemes of polynomial and exponential orders, Compact \(h^ 4\) finite-difference approximations to operators of Navier- Stokes type, Nonpolynomial finite difference schemes and the use of the fast Fourier transform