The combined reproducing kernel method and Taylor series to solve nonlinear Abel’s integral equations with weakly singular kernel

The reproducing kernel method and Taylor series to determine a solution for nonlinear Abel’s integral equations are combined. In this technique, we first convert it to a nonlinear differential equation by using Taylor series. The approximate solution in the form of series in the reproducing kernel s...

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Bibliographic Details
Main Authors: Azizallah Alvandi, Mahmoud Paripour
Format: Article
Language:English
Published: Taylor & Francis Group 2016-12-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2016.1250705