An Algorithm for the Solution of Nonlinear Volterra–Fredholm Integral Equations with a Singular Kernel

An Algorithm for the Solution of Nonlinear Volterra–Fredholm Integral Equations with a Singular Kernel

The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE with a singular kernel leads to a system of n...

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Bibliographic Details
Main Authors: Sahar M. Abusalim, Mohamed A. Abdou, Mohamed E. Nasr, Mohamed A. Abdel-Aty
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Fractal and Fractional
Subjects:
singular nonlinear Volterra–Fredholm integral equation
algebraic system
Banach fixed point theorem
singular kernel
Chebyshev polynomials
Online Access:https://www.mdpi.com/2504-3110/7/10/730

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