Fast and Accurate Numerical Algorithm with Performance Assessment for Nonlinear Functional Volterra Equations

Fast and Accurate Numerical Algorithm with Performance Assessment for Nonlinear Functional Volterra Equations

An efficient numerical algorithm is developed for solving nonlinear functional Volterra integral equations. The core idea is to define an appropriate operator, then combine the Krasnoselskij iterative scheme with collocation at discrete points and the Newton–Cotes quadrature rule. This results in an...

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Bibliographic Details
Main Authors: Chinedu Nwaigwe, Sanda Micula
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Fractal and Fractional
Subjects:
Krasnoselskij iteration
trapezoidal rule
generalized Banach contraction principle
collocation method
convergence analysis
Online Access:https://www.mdpi.com/2504-3110/7/4/333

Internet

https://www.mdpi.com/2504-3110/7/4/333

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