Iterative schemes for solving the Chandrasekhar H-equation using the Bernstein polynomials
[EN] In this work, we use Newton-type iterative schemes to obtain a domain of existence of solution, approximate the solution of Chandrasekhar H-equations and deal with the case of nonlinear integral equations with non-separable kernels. A change of variable in the Chandrasekhar H-equation allows us...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2022 |
| 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:10251/192057 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/192057 |
| Access Level: | acceso abierto |
| Palavra-chave: | Chandrasekhar H-equation Non-separable kernel Newton-type iterative scheme Domain of existence of solution Domain of uniqueness of solution MATEMATICA APLICADA |
| Resumo: | [EN] In this work, we use Newton-type iterative schemes to obtain a domain of existence of solution, approximate the solution of Chandrasekhar H-equations and deal with the case of nonlinear integral equations with non-separable kernels. A change of variable in the Chandrasekhar H-equation allows us to apply a previous study by describing nonlinear integral equations of Hammerstein-type with non-separable kernel. We use the Bernstein polynomials for approximating the non-separable kernel and then we apply a semilocal converge study done previously to the Chandrasekhar H-equation. Moreover, we apply Newton-type iterative schemes for some specific Chandrasekhar H-equations to approximate the H-function solution and compare our results with others obtained previously. (C)& nbsp;2021 Elsevier B.V. All rights reserved. |
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