A New High Accuracy Off-Step Discretisation for the Solution of 2D Nonlinear Triharmonic Equations

DOI10.4208/EAJAM.140713.130813AzbMath1290.65099OpenAlexW2322955469MaRDI QIDQ5417783

Suruchi Singh, Swarn Singh, Ranjan Kumar Mohanty

Publication date: 22 May 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.140713.130813a

zbMATH Keywords

convergencenumerical exampleLaplaciansingular problemsmaximum absolute errorsbiharmonichigh accuracy finite differencesoff-step discretisationtriharmonictwo-dimensional nonlinear triharmonic equations

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

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 ⋮ On the numerical solution of high order multi-dimensional elliptic PDEs

This page was built for publication: A New High Accuracy Off-Step Discretisation for the Solution of 2D Nonlinear Triharmonic Equations