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• W4386374975 endingPage "81" @default.
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• W4386374975 abstract "In the current paper, an iterative numerical scheme based upon the quasilinearization technique and Nyström method to find the approximate solution of the nonlinear Fredholm integral equations of the second kind is provided. First, using the quasilinearization method, the nonlinear Fredholm integral equation is reduced to a sequence of linear Fredholm integral equations. Under some suitable assumptions, the exact solutions of this sequence of linear integral equations converge to the unique solution of the original problem quadratically. Then in each iteration, utilizing the linear barycentric rational quadrature, the linear Fredholm integral equation is approximated with the Nyström method. Convergence analysis of the method is investigated thoroughly. Numerical examples and comparisons with other existing methods are provided to confirm the theoretical results and demonstrate the performance and validity of the numerical method." @default.
• W4386374975 created "2023-09-02" @default.
• W4386374975 creator A5005746508 @default.
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• W4386374975 date "2023-12-01" @default.
• W4386374975 modified "2023-10-16" @default.
• W4386374975 title "An iterative Nyström-based method to solve nonlinear Fredholm integral equations of the second kind" @default.
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• W4386374975 doi "https://doi.org/10.1016/j.apnum.2023.08.009" @default.
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