An efficient method for the numerical solution of the nonlinear Hammerstein fractional integral equations
نویسندگان
چکیده
In this paper, we present a numerical method for solving nonlinear Hammerstein fractional integral equations. The approximates the solution by Picard iteration together with integration designed weakly singular integrals. Error analysis of proposed is also investigated. Numerical examples approve its efficiency in terms accuracy and computational cost.
منابع مشابه
ANALYTICAL-NUMERICAL SOLUTION FOR NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
Using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of Hammerstein type . The mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). The procedure of this method is so fast and don't need high cpu and complicated programming. The advantages of this method are that we can applied for those integral equations whi...
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متن کاملanalytical-numerical solution for nonlinear integral equations of hammerstein type
using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of hammerstein type . the mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). the procedure of this method is so fast and don't need high cpu and complicated programming. the advantages of this method are that we can applied for those integral equation...
متن کاملAnalytical-Numerical Solution for Nonlinear Integral Equations of Hammerstein Type
Using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of Hammerstein type . The mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). The procedure of this method is so fast and don’t need high cpu and complicated programming. The advantages of this method is that we can applied for those integral equations whic...
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ژورنال
عنوان ژورنال: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2102419a