An invariant imbedding algorithm for the solution of inhomogeneous linear two-point boundary value problems

DOI10.1016/0021-9991(74)90004-7zbMath0273.65065OpenAlexW2033924671MaRDI QIDQ2264535

Richard C. jun. Allen, G. Milton Wing

Publication date: 1974

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(74)90004-7

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (13)

Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems ⋮ A theoretical result on the effectiveness of the addition formulae for two-point boundary systems ⋮ On the solution of linear boundary value problems by extended invariant imbedding ⋮ Optimized hybrid methods for solving oscillatory second order initial value problems ⋮ Existence of \(h^ 2\)-expansion for some extrapolation methods for solving autonomous higher order ODEs ⋮ On best least square solutions of two-point boundary value problems via modified Gram-Schmidt process ⋮ Zero-dissipative phase-fitted hybrid methods for solving oscillatory second order ordinary differential equations ⋮ New \(4(3)\) pairs diagonally implicit Runge-Kutta-Nyström method for periodic IVPs ⋮ A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems ⋮ On the effectiveness of the inverse Riccati transformation in the matrix case ⋮ New phase-fitted and amplification-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for oscillatory problems ⋮ Solutions of a dissipative diffusion equation in a Hilbert space ⋮ Unnamed Item

Cites Work

• Invariant imbedding and transport problems with internal sources
• A numerical algorithm suggested by problems of transport in periodic media
• On shooting methods for boundary value problems
• A generalized invariant imbedding equation
• Functional relationships for Fredholm integral equations arising from pseudo-transport problems
• The relationship between two variants of invariant imbedding
• Generalized trigonometric identities and invariant imbedding
• A numerical algorithm suggested by problems of transport in periodic media: The matrix case
• On the Relation of Transmission-Line Theory to Scattering and Transfer
• Solving Linear Boundary Value Problems by Approximating the Coefficients
• Comparison of Linear and Riccati Equations Used to Solve Optimal Control Problems
• Unnamed Item
• Unnamed Item

This page was built for publication: An invariant imbedding algorithm for the solution of inhomogeneous linear two-point boundary value problems