A novel approach to solve nonlinear Fredholm integral equations of the second kind

In this paper, we present a novel approach to solve nonlinear Fredholm integral equations of the second kind. This algorithm is constructed by the integral mean value theorem and Newton iteration. Convergence and error analysis of the numerical solutions are given. Moreover, Numerical examples show...

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Detalles Bibliográficos
Autores principales: Li, Hu, Huang, Jin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4766147/
https://www.ncbi.nlm.nih.gov/pubmed/27026851
http://dx.doi.org/10.1186/s40064-016-1810-8
Descripción
Sumario:In this paper, we present a novel approach to solve nonlinear Fredholm integral equations of the second kind. This algorithm is constructed by the integral mean value theorem and Newton iteration. Convergence and error analysis of the numerical solutions are given. Moreover, Numerical examples show the algorithm is very effective and simple.

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