A new finite difference discretization of order four for for two-dimensional quasi-linear elliptic boundary value problem

DOI10.1080/00207160108805043zbMath0992.65116OpenAlexW2017238529MaRDI QIDQ2720130

Shivani Dey, Ranjan Kumar Mohanty

Publication date: 1 September 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805043

zbMATH Keywords

numerical exampleserror boundpolar coordinatesdifference methodstwo-dimensional quasi-linear elliptic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (10)

High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems ⋮ Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: application to bi- and tri-harmonic boundary value problems ⋮ Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations ⋮ A New Fourth-Order Compact Off-Step Discretization for the System of 2D Nonlinear Elliptic Partial Differential Equations ⋮ A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations ⋮ A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems ⋮ Compact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations ⋮ Cubic spline iterative method for Poisson's equation in cylindrical polar coordinates ⋮ 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 new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier–Stokes equations of motion

Cites Work

• Single cell discretizations of order two and four for biharmonic problems
• Order \(h^ 4\) difference methods for a class of singular two space elliptic boundary value problems
• High-order methods for elliptic equations with variable coefficients
• Fourth-order difference methods for the system of 2D nonlinear elliptic partial differential equations
• Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations

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