Improved Iterative Solution of Linear Fredholm Integral Equations of Second Kind via Inverse-Free Iterative Schemes

Improved Iterative Solution of Linear Fredholm Integral Equations of Second Kind via Inverse-Free Iterative Schemes

This work is devoted to Fredholm integral equations of second kind with non-separable kernels. Our strategy is to approximate the non-separable kernel by using an adequate Taylor’s development. Then, we adapt an already known technique used for separable kernels to our case. First, we study the loca...

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Bibliographic Details
Main Authors: José Manuel Gutiérrez, Miguel Ángel Hernández-Verón, Eulalia Martínez
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Mathematics
Subjects:
Fredholm integral equation
iterative processes
Newton’s method
separable and non-separable kernels
local and semilocal convergence
Online Access:https://www.mdpi.com/2227-7390/8/10/1747

Internet

https://www.mdpi.com/2227-7390/8/10/1747

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