Analysis and numerical approximation of singular boundary value problems with the \(p\)-Laplacian in fluid mechanics

DOI10.1016/j.cam.2013.09.071zbMath1301.65079OpenAlexW1991545352MaRDI QIDQ2252353

Pedro M. Lima, G. Yu. Kulikov, M. L. Morgado

Publication date: 17 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2013.09.071

zbMATH Keywords

singular boundary value problemsshooting methodnonlinear ordinary differential equationsdegenerate Laplaciannested implicit Runge-Kutta formulas with global error control

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (9)

Density profile equation with \(p\)-Laplacian: analysis and numerical simulation ⋮ New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations ⋮ Variable-stepsize doubly quasi-consistent singly diagonally implicit two-step peer pairs for solving stiff ordinary differential equations ⋮ Nested implicit Runge-Kutta pairs of Gauss and Lobatto types with local and global error controls for stiff ordinary differential equations ⋮ A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method ⋮ Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems ⋮ Pseudospectral solutions to some singular nonlinear BVPs ⋮ 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

• bvp4c
• bvpsuite
• Sbvp

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