Initial-value adjusting method for the solution of nonlinear multipoint boundary-value problems

DOI10.1016/0022-247X(79)90149-5zbMath0412.65041MaRDI QIDQ1259891

Y. Kasue, Takeo Ojika

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equationquadratic convergencequasilinearizationmultipoint boundary value probleminitial value adjusting methodadjusting matrix

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (19)

A numerical method for the solution of multi-point problems for ordinary differential equations with integral constraints ⋮ Multipoint boundary value problems with discontinuities. I. Algorithms and applications ⋮ On quadratic convergence of the initial value adjusting method for nonlinear multipoint boundary value problems ⋮ On the convergence of the initial-value adjusting method for nonlinear boundary value problems ⋮ The initial-value adjusting method for problems of the least squares type of ordinary differential equations ⋮ Modeling problems in ordinary differential equations using the initial value adjusting method ⋮ The scaling method for free interface problems in ordinary differential equations ⋮ Initial value adjusting method and graph theoretical analysis for the solution of nonlinear multipoint boundary value problems with varying system dimensions ⋮ Computation of steady laminar flow over a circular cylinder with third- order boundary conditions ⋮ Nonlinear time optimal control of a rotating rigid body ⋮ A numerical method for multipoint boundary value problems with application to a restricted three body problem ⋮ Initial-value adjusting method for the solution of nonlinear multipoint boundary-value problems ⋮ Existence-uniqueness and iterative methods for third-order boundary value problems ⋮ On the quadratic convergence properties of the epsilon-secant method for the solution of a system of nonlinear equations and its application to a chemical reaction problem ⋮ Structure analyses for large scale nonlinear multipoint boundary value problems ⋮ Hybrid manipulations for the solution of systems of nonlinear algebraic equations ⋮ Initial-value methods for discrete boundary value problems ⋮ Dynamic control of coordinated redundant robots with torque optimization ⋮ Stationary and nonstationary iterative methods for nonlinear boundary value problems

Cites Work

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• On quadratic convergence of the initial value adjusting method for nonlinear multipoint boundary value problems
• Initial-value adjusting method for the solution of nonlinear multipoint boundary-value problems
• On shooting methods for two-point boundary value problems
• Modified quasilinearization technique for the solution of boundary-value problems for ordinary differential equations
• On shooting methods for boundary value problems
• Direct shooting method for the solution of boundary-value problems
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• An extended quasilinearization algorithm
• The Numerical Integration of Two-Point Boundary Value Problems
• Solution of variational problems by means of a generalized newton-raphson operator

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