Back-and-forth shooting method for solving two-point boundary-value problems

DOI10.1007/BF00932657zbMath0304.34019OpenAlexW2044078978MaRDI QIDQ1216723

P. A. J. Lautala, P. J. Orava

Publication date: 1976

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00932657

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical analysis in abstract spaces (65J99)

Related Items (8)

A posteriori error bounds for the back-and-forth shooting method ⋮ Stress scenario generation for solvency and risk management ⋮ Convergence of the back-and-forth shooting method for solving two-point boundary-value problems ⋮ Interval length continuation method for solving two-point boundary-value problems ⋮ A method for solving two-point boundary-value problems of difference equations ⋮ A divided difference method for solving two-point boundary value problems ⋮ On the modelling and solving of an optimal control problem of hydro-electric power plant systems ⋮ Two-level solution algorithms for constrained dynamic optimization problems

Cites Work

• Obtaining starting values for the shooting method solution of a class of two-point boundary value problems
• Initial value methods for boundary value problems. Theory and application of invariant imbedding
• General technique for solving nonlinear, two-point boundary-value problems via the method of particular solutions
• Shooting and embedding for two-point boundary value problems
• Invariant imbedding and the continuation method: a comparison†
• Solution of Ill-Conditioned linear Two-Point Boundary Value Problems by the Riccati Transformation
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Back-and-forth shooting method for solving two-point boundary-value problems