An algorithm for solving multi-point boundary value problems

DOI10.1007/BF02240097zbMath0602.65060OpenAlexW1552664166MaRDI QIDQ1082048

Frank R. de Hoog, Robert M. M. Mattheij

Publication date: 1987

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02240097

zbMATH Keywords

numerical examplesdichotomymultiple shootingdecoupling algorithmpolychotomy

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (5)

A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ Numerov's method for a class of nonlinear multipoint boundary value problems ⋮ An adaptive algorithm for solving stochastic multi-point boundary value problems ⋮ An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems ⋮ Parallel stable compactification for ODEs with parameters and multipoint conditions

Cites Work

• Unnamed Item
• Multipoint boundary value problems with discontinuities. I. Algorithms and applications
• The numerical solution of multipoint boundary value problems
• An Efficient Algorithm for Solving General Linear Two-Point BVP
• On Optimal Shooting Intervals
• On Dichotomy and Well Conditioning in BVP
• Decoupling and Stability of Algorithms for Boundary Value Problems
• On the Conditioning of Multipoint and Integral Boundary Value Problems

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