Multipoint boundary value problems with discontinuities. II. Convergence of the initial value adjusting method

DOI10.1016/0771-050X(80)90024-8zbMath0439.65065MaRDI QIDQ1142541

Takeo Ojika, K. Wayne Welsh

Publication date: 1980

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Kantorovich's theoremquadratic convergence rateinitial value adjusting method

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 (6)

Multipoint boundary value problems with discontinuities. I. Algorithms and applications ⋮ Modeling problems in ordinary differential equations using the initial value adjusting method ⋮ The scaling method for free interface problems in ordinary differential equations ⋮ Modified deflation algorithm for the solution of singular problems. II: Nonlinear multipoint 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 ⋮ Hybrid manipulations for the solution of systems of nonlinear algebraic equations

Cites Work

• Unnamed Item
• Multipoint boundary value problems with discontinuities. I. Algorithms and applications
• Initial value methods for boundary value problems. Theory and application of invariant imbedding
• Solution of Troesch's two-point boundary value problem by a combination of techniques

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