A numerical study for multiple solutions of a singular boundary value problem arising from laminar flow in a porous pipe with moving wall

DOI10.1016/j.cam.2016.10.002zbMath1354.35106OpenAlexW2535174979MaRDI QIDQ344316

Ping Lin, Lin Li, Lian-Cun Zheng, Xin-hui Si

Publication date: 22 November 2016

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

Full work available at URL: https://discovery.dundee.ac.uk/ws/files/11671688/Sililin2016_4_7_5.pdf

zbMATH Keywords

multiple solutionssingular perturbation methodsingular boundary value problemexpanding porous circular pipe

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Flows in porous media; filtration; seepage (76S05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (6)

Global exponential stability of Markovian jumping stochastic impulsive uncertain BAM neural networks with leakage, mixed time delays, and \(\alpha\)-inverse Hölder activation functions ⋮ Boundedness and robust analysis of dynamics of nonlinear diffusion high-order Markovian jump time-delay system ⋮ Numerical implementation of finite-time shadowing of stochastic differential equations ⋮ Swirling flow in a permeable tube at slowly expanding and contracting wall ⋮ Numerical implementation of finite-time shadowing of stochastic differential equations ⋮ Asymptotic solutions on multiple solutions arising from laminar flow in a uniformly porous channel with expanding or contracting walls

Uses Software

• Matlab
• AUTO
• COLNEW
• bvp4c
• bvpsuite
• HomCont

Cites Work

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