A New Fourth-Order Compact Off-Step Discretization for the System of 2D Nonlinear Elliptic Partial Differential Equations

DOI10.4208/EAJAM.291211.080212AzbMath1287.65098OpenAlexW2318431804MaRDI QIDQ5406911

Nikita Setia, Ranjan Kumar Mohanty

Publication date: 4 April 2014

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.291211.080212a

zbMATH Keywords

convergenceconvection-diffusion equationnumerical examplesnormal derivativesfourth-order finite difference methodsNavier-Stokes equations of motionoff-step discretizationPoisson equation in polar coordinatestwo-dimensional nonlinear elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30) Finite difference methods for boundary value problems involving PDEs (65N06) Second-order elliptic systems (35J47)

Related Items (4)

A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems ⋮ A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations ⋮ A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations ⋮ 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

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