Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations
type: Item
instance of: scholarly article
title: Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations
zbMATH Open document ID: 1458.65136
author: Xianqiang Yang
published in: Advances in Difference Equations
publication date: 2019-02-12T00:00:00Z
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 7020822
zbMATH Keywords: quasilinear elliptic equations
zbMATH Keywords: compact exponential approximation
zbMATH Keywords: fourth order difference methods
zbMATH Keywords: convergence analysis
zbMATH Keywords: Burger's equation
zbMATH Keywords: convection-diffusion equation
zbMATH Keywords: Navier-Stokes equations of motion
MaRDI profile type: Publication
full work available at URL: s13662-019-1968-9
OpenAlex ID: W2919399584
Wikidata QID: Q115518718
cites work: Fourth-order difference methods for the system of 2D nonlinear elliptic partial differential equations
cites work: A fourth‐order difference method for elliptic equations with nonlinear first derivative terms
cites work: A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
cites work: Fourth-order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds numbers
cites work: Q5268513
cites work: A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach
cites work: High‐order compact scheme for the steady stream‐function vorticity equations
cites work: Q4229816
cites work: Analysis of a fourth-order compact scheme for convection-diffusion
cites work: Convergence of iterative methods for a fourth-order discretization scheme
cites work: Q3219724
cites work: Fourth order finite difference methods for the system of 2-d nonlinear elliptic equations with variable coefficients
cites work: On Finite Element Methods for Fully Nonlinear Elliptic Equations of Second Order
cites work: Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations
cites work: Numerical Methods for Nonlinear Elliptic Differential Equations
cites work: Fourth‐order difference method for quasilinear Poisson equation in cylindrical symmetry
cites work: A fourth‐order finite difference scheme for two‐dimensional nonlinear elliptic partial differential equations
cites work: Order \(h^ 4\) difference methods for a class of singular two space elliptic boundary value problems
cites work: A new finite difference discretization of order four for for two-dimensional quasi-linear elliptic boundary value problem
cites work: A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems
cites work: A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations
cites work: On convergence and performance of iterative methods with fourth-order compact schemes
cites work: Technical note: A fourth-order finite difference scheme for a system of a 2D nonlinear elliptic partial differential equations
cites work: Preconditioned techniques for solving large sparse linear systems arising from the discretization of the elliptic partial differential equations
cites work: A new high accuracy finite difference discretization for the solution of 2D nonlinear biharmonic equations using coupled approach
cites work: Single-cell compact finite-difference discretization of order two and four for multidimensional triharmonic problems
cites work: A compact discretization ofO(h4) for two-dimensional nonlinear triharmonic equations
cites work: A Novel Numerical Method of for Three-Dimensional Non-Linear Triharmonic Equations
cites work: A new coupled approach high accuracy numerical method for the solution of 3D non-linear biharmonic equations
cites work: A New High Accuracy Off-Step Discretisation for the Solution of 2D Nonlinear Triharmonic Equations
cites work: Numerical integration of ordinary differential equations based on trigonometric polynomials
cites work: Chebyshevian multistep methods for ordinary differential equations
cites work: Matrix Iterative Analysis
cites work: Q3155853
cites work: Q4841246
cites work: Parallel iterative methods for sparse linear systems
DOI: 10.1186/S13662-019-1968-9
description: scientific article; zbMATH DE number 7020822