Density profile equation with \(p\)-Laplacian: analysis and numerical simulation

DOI10.1016/j.amc.2013.09.066zbMath1337.65085OpenAlexW2011966942MaRDI QIDQ275800

M. L. Morgado, Pedro M. Lima, Gottfried Hastermann, Ewa B. Weinmüller

Publication date: 26 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.09.066

zbMATH Keywords

collocation methodssingular boundary value problemsshooting methodsnonlinear ordinary differential equationsdegenerate Laplacian

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (6)

On nonlinear singular BVPs with nonsmooth data. II: Convergence of collocation methods ⋮ A novel computational approach to singular free boundary problems in ordinary differential equations ⋮ On nonlinear singular BVPs with nonsmooth data. I: Analytical results ⋮ Analysis and numerical approximation of singular boundary value problems with the \(p\)-Laplacian in fluid mechanics ⋮ An Integral Method for the Numerical Solution of Nonlinear Singular Boundary Value Problems ⋮ Numerical solution of integro-differential equations arising from singular boundary value problems

Uses Software

• Matlab
• bvpsuite

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Automatic grid control in adaptive BVP solvers
• Analytical-numerical investigation of bubble-type solutions of nonlinear singular problems
• Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation
• Moving contact lines in the Cahn-Hilliard theory
• A collocation code for singular boundary value problems in ordinary differential equations
• Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
• Analysis and numerical approximation of singular boundary value problems with the \(p\)-Laplacian in fluid mechanics
• Efficient numerical solution of the density profile equation in hydrodynamics
• Mean curvature properties for \(p\)-Laplace phase transitions
• Asymptotically correct error estimation for collocation methods applied to singular boundary value problems
• New a posteriori error estimates for singular boundary value problems
• Computation of self-similar solution profiles for the nonlinear Schrödinger equation
• Collocation methods for index 1 DAEs with a singularity of the first kind
• Collocation Methods for Singular Boundary Value Problems
• TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Flat level set regularity of 𝑝-Laplace phase transitions
• Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems

This page was built for publication: Density profile equation with \(p\)-Laplacian: analysis and numerical simulation