A Numerical Method for Weakly Singular Nonlinear Volterra Integral Equations of the Second Kind

A Numerical Method for Weakly Singular Nonlinear Volterra Integral Equations of the Second Kind

This paper presents a numerical iterative method for the approximate solutions of nonlinear Volterra integral equations of the second kind, with weakly singular kernels. We derive conditions so that a unique solution of such equations exists, as the unique fixed point of an integral operator. Iterat...

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Bibliographic Details
Main Author: Sanda Micula
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Symmetry
Subjects:
weakly singular Volterra integral equations
Picard iteration
product integration
numerical approximation
Online Access:https://www.mdpi.com/2073-8994/12/11/1862

Internet

https://www.mdpi.com/2073-8994/12/11/1862

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