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• W2979244352 abstract "In the present paper we develop a numerical collocation scheme for integral equations based on the interpolation method which uses the so-called neural network operators activated by ramp functions. The proposed collocation scheme allows to solve both linear and nonlinear Volterra integral equations of the second kind; the convergence of the numerical method has been proved under standard assumptions. Numerical examples have been provided and discussed; the proposed method has been compared with the classical piecewice polynomials collocation method and a method based on sigmoidal functions, such as the Heaviside and the logistic functions." @default.
• W2979244352 created "2019-10-10" @default.
• W2979244352 creator A5080013307 @default.
• W2979244352 date "2019-10-03" @default.
• W2979244352 modified "2023-09-25" @default.
• W2979244352 title "Approximate solutions of Volterra integral equations by an interpolation method based on ramp functions" @default.
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• W2979244352 doi "https://doi.org/10.1007/s40314-019-0946-x" @default.
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