On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity

DOI10.1186/s13661-014-0183-6zbMath1316.34025OpenAlexW2128230390WikidataQ59320625 ScholiaQ59320625MaRDI QIDQ481451

Svatoslav Staněk, Jana Burkotová, Ewa B. Weinmüller, Irena Rachůnková

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0183-6

zbMATH Keywords

convergencecollocation methodexistence and uniquenesssingular boundary value problemlinear systems of ODEsnonsmooth inhomogeneitytime singularity of the first kind

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

A numerical study for multiple solutions of a singular boundary value problem arising from laminar flow in a porous pipe with moving wall ⋮ On singular BVPs with nonsmooth data: convergence of the collocation schemes ⋮ On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity ⋮ On nonlinear singular BVPs with nonsmooth data. II: Convergence of collocation methods ⋮ On singular BVPs with nonsmooth data: analysis of the linear case with variable coefficient matrix ⋮ On nonlinear singular BVPs with nonsmooth data. I: Analytical results

Uses Software

• bvpsuite
• avalanche.f

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