Solving non-differentiable Hammerstein integral equations via first-order divided differences
[EN] In this paper, the behavior of derivative-free techniques to approximate solutions of nonlinear Hammerstein-type integral equations in Banach space C([alpha,beta]) as alternatives against the well-known Newton's method is examined. In particular, from the well-known Kurchatov method, w...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/204783 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/204783 |
| Access Level: | acceso abierto |
| Palavra-chave: | Hammerstein integral equations Kurchatov&apos s method Divided differences Dynamics MATEMATICA APLICADA |
| Resumo: | [EN] In this paper, the behavior of derivative-free techniques to approximate solutions of nonlinear Hammerstein-type integral equations in Banach space C([alpha,beta]) as alternatives against the well-known Newton's method is examined. In particular, from the well-known Kurchatov method, we construct a uniparametric family of derivative-free iterative schemes in order to achieve an approximation of a solution of a Hammerstein-type integral equation with a non-differentiable Nemyskii operator. We compare the uniparametric family built and the Kurchatov method, obtaining improvements in the precision and also in the accessibility through studying its dynamic behavior. |
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