A new high order compact off-step discretization for the system of 3D quasi-linear elliptic partial differential equations

DOI10.1016/j.apm.2013.02.018zbMath1426.65155OpenAlexW1983315860MaRDI QIDQ1788975

Nikita Setia, Ranjan Kumar Mohanty

Publication date: 9 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.02.018

zbMATH Keywords

normal derivativesPoisson's equation in polar coordinatesfourth-order finite difference methodsoff-step discretizationNavier-Stokes' equations of motionthree-dimensional quasi-linear elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (10)

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 ⋮ High-accuracy quasi-variable mesh method for the system of 1D quasi-linear parabolic partial differential equations based on off-step spline in compression approximations ⋮ A New Fast Algorithm Based on Half-Step Discretization for 3D Quasilinear Hyperbolic Partial Differential Equations ⋮ Haar wavelet collocation method for three-dimensional elliptic partial differential equations ⋮ Fourth‐order compact scheme based on quasi‐variable mesh for three‐dimensional mildly nonlinear stationary convection–diffusion equations ⋮ The dimension coupling method for 3D steady convection-diffusion-reaction problems with variable coefficients ⋮ A Blended Compact Difference (BCD) Method for Solving 3D Convection–Diffusion Problems with Variable Coefficients ⋮ Compact higher order discretization of 3D generalized convection diffusion equation with variable coefficients in nonuniform grids ⋮ A RBF-based technique for 3D convection-diffusion-reaction problems in an anisotropic inhomogeneous medium ⋮ A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems

Cites Work

• High-order compact solution of the one-dimensional heat and advection-diffusion equations
• Single cell discretizations of order two and four for biharmonic problems
• A general meshsize fourth-order compact difference discretization scheme for 3D Poisson equation
• Comparison of preconditioning techniques for solving linear systems arising from the fourth order approximation of the three-dimensional elliptic equation
• A simple form for the fourth order difference method for 3-D elliptic equations
• Fourth-order compact solution of the nonlinear Klein-Gordon equation
• High order difference methods for heat equation in polar cylindrical coordinates
• Fast and high accuracy multigrid solution of the three dimensional Poisson equation
• Symbolic computation of high order compact difference schemes for three dimensional linear elliptic partial differential equations with variable coefficients
• Preconditioned techniques for solving large sparse linear systems arising from the discretization of the elliptic partial differential equations
• Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
• Computational Methods for Fluid Dynamics
• A new highly accurate discretization for three-dimensional singularly perturbed nonlinear elliptic partial differential equations
• Fourth-order finite difference methods for three-dimensional general linear elliptic problems with variable coefficients
• 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
• An explicit fourth-order compact finite difference scheme for three-dimensional convection-diffusion equation
• 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
• High‐order compact scheme for the steady stream‐function vorticity equations
• High accuracy multigrid solution of the 3D convection-diffusion equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new high order compact off-step discretization for the system of 3D quasi-linear elliptic partial differential equations