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Rigorous enclosures of solutions of Neumann boundary value problems

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Author(s):
Ramos, Eduardo ; Nolasco, Victor ; Gameiro, Marcio
Total Authors: 3
Document type: Journal article
Source: APPLIED NUMERICAL MATHEMATICS; v. 180, p. 16-pg., 2022-06-02.
Abstract

This paper is dedicated to the problem of isolating and validating zeros of non-linear two point boundary value problems. We present a method for such purpose based on the Newton-Kantorovich Theorem to rigorously enclose isolated zeros of two point boundary value problem with Neumann boundary conditions. (AU)

FAPESP's process: 19/06249-7 - Applications of Computational and Topological Methods to Dynamical Systems
Grantee:Marcio Fuzeto Gameiro
Support Opportunities: Regular Research Grants