A NEWTON-LIKE METHOD FOR SOLVING SOME BOUNDARY VALUE PROBLEMS

DOI10.1081/NFA-120016270zbMath1032.34015OpenAlexW1992785935MaRDI QIDQ4806002

M. A. Salanova, José Antonio Ezquerro, Miguel A. Hernández

Publication date: 4 March 2004

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-120016270

zbMATH Keywords

Newton's methodnonlinear boundary value problems

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (7)

A third order method for fixed points in Banach spaces ⋮ An Ulm-type method with \(R\)-order of convergence three ⋮ A Newton-like method for generalized operator equations in Banach spaces ⋮ Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition ⋮ Convergence of an Iteration of Fifth-Order Using Weaker Conditions on First Order Fréchet Derivative in Banach Spaces ⋮ Study of frozen-type Newton-like method in a Banach space with dynamics ⋮ Accessibility of solutions of operator equations by Newton-like methods

Cites Work

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• A note on Halley's method
• On the method of tangent hyperbolas in Banach spaces
• Newton's method and boundary value problems
• Newton-like methods under mild differentiability conditions with error analysis
• A family of Chebyshev-Halley type methods in Banach spaces

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