A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations

DOI10.1186/1687-1847-2013-223zbMath1380.65327OpenAlexW2157736512WikidataQ59299596 ScholiaQ59299596MaRDI QIDQ681084

Nikita Setia, Ranjan Kumar Mohanty

Publication date: 30 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-223

zbMATH Keywords

convection-diffusion equationBurger's equationPoisson's equation in polar coordinatesquasi-linear elliptic equationsfourth-order finite difference methodsNavier-Stokes equations of motion

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Quasilinear elliptic equations (35J62)

Related Items (11)

A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems ⋮ A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations ⋮ Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation ⋮ A new efficient DQ algorithm for the solution of elliptic problems in higher dimensions ⋮ Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: application to bi- and tri-harmonic boundary value problems ⋮ A family of compact finite difference formulations for three-space dimensional nonlinear Poisson's equations in Cartesian coordinates ⋮ Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations ⋮ A new high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations ⋮ Compact-FDM for mildly nonlinear two-space dimensional elliptic BVPs in polar coordinate system and its convergence theory ⋮ 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 ⋮ A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Single cell discretizations of order two and four for biharmonic problems
• A fourth-order Poisson solver
• A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach
• Analysis of a fourth-order compact scheme for convection-diffusion
• Order \(h^ 4\) difference methods for a class of singular two space elliptic boundary value problems
• Convergence of iterative methods for a fourth-order discretization scheme
• A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems
• A new finite difference discretization of order four for for two-dimensional quasi-linear elliptic boundary value problem
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• Fourth-order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds numbers
• Fourth-order difference methods for the system of 2D nonlinear elliptic partial differential equations
• Fourth‐order difference method for quasilinear Poisson equation in cylindrical symmetry
• A fourth‐order finite difference scheme for two‐dimensional nonlinear elliptic partial differential equations
• On convergence and performance of iterative methods with fourth-order compact schemes
• Technical note: A fourth-order finite difference scheme for a system of a 2D nonlinear elliptic partial differential equations
• A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
• High‐order compact scheme for the steady stream‐function vorticity equations

This page was built for publication: A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations