A generalized spline method for singular boundary value problems of ordinary differential equations

DOI10.1016/0024-3795(73)90040-2zbMath0268.65046OpenAlexW2029181467MaRDI QIDQ758818

Frank Natterer

Publication date: 1973

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(73)90040-2

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (6)

Cubic spline and invariant imbedding for solving singular two-point boundary value problems ⋮ Methods for solving singular boundary value problems using splines: a review ⋮ A numerical study for multiple solutions of a singular boundary value problem arising from laminar flow in a porous pipe with moving wall ⋮ Numerical solution of singular two-point boundary value problems by the collocation method with the Chebyshev bases ⋮ A class of degenerate ordinary differential equations and the collocation method for their solution ⋮ Das Differenzenverfahren für singuläre Rand-Eigenwertaufgaben gewöhnlicher Differentialgleichungen

Cites Work

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• On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
• Numerische Behandlung singulärer Sturm-Liouville-Probleme
• Numerical methods of high-order accuracy for singular nonlinear boundary value problems
• Numerical Methods for Generalized Axially Symmetric Potentials
• Approximation of the Bessel Eigenvalue Problem by Finite Differences
• Über die numerische Behandlung singulärer Sturm-Liouville-Probleme.
• Finite Difference Schemes for Differential Equations

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