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Sidorov, N.A. and Sidorov, D.N. (2010) Solving the Hammerstein Integral Equation in the Irregular Case by Successive Approximations. Siberian Mathematical Journal, 51, 325-329.
https://doi.org/10.1007/s11202-010-0033-4

has been cited by the following article:

• TITLE: Numerical Simulation for Fredholm Integral Equation of the Second Kind

  AUTHORS: Peng Guo

  KEYWORDS: Integral Equation, Fredholm, Gauss-Lobatto, Numerical Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.11, November 20, 2020

  ABSTRACT: This work mainly focuses on the numerical simulation of the Fredholm integral equation of the second kind. Applying the idea of Gauss-Lobatto quadrature formula, a numerical method is developed. For the integral item, we give an approximation with high precision. The existence condition of the solution for the Fredholm equation is given. Furthermore, the error analyses are presented. Finally, the numerical examples verify the theoretical analysis, and show the efficiency of the algorithm we discussed.