A sigmoid method for some nonlinear Fredholm integral equations of the second kind

Applied Numerical Mathematics - Tập 181 - Trang 125-134 - 2022
Juarez S. Azevedo1
1Universidade Federal da Bahia - UFBA, ICTI, Centro, 42802-721, Camaçari-BA, Brazil

Tài liệu tham khảo

Azevedo, 2021, Analysis and spectral element solution of nonlinear integral equations of Hammerstein type, 41 Azevedo, 2020, Spectral element approximation of functional integral equations, Electron. J. Math. Anal. Appl., 8, 172 Chen, 2009, The approximation operators with sigmoidal functions, Comput. Math. Appl., 58, 758, 10.1016/j.camwa.2009.05.001 Chen, 2013, The properties of logistic function and applications to neural network approximation, J. Comput. Anal. Appl., 15, 1046 Costarelli, 2013, Constructive approximation by superposition of sigmoidal functions, Anal. Theory Appl., 29, 169, 10.4208/ata.2013.v29.n2.8 Costarelli, 2014, A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions, J. Integral Equ. Appl., 15 Das, 2017, Error analysis of discrete Legendre multi-projection methods for nonlinear Fredholm integral equations, Numer. Funct. Anal. Optim., 38, 549, 10.1080/01630563.2016.1248563 Delves, 1988 Ebrahimi, 2015, Collocation method for linear and nonlinear Fredholm and Volterra integral equations, Appl. Math. Comput., 270, 156 Emmanuele, 1991, About the existence of integrable solutions of a functional-integral equation, Rev. Mat. Univ. Complut. Madr., 4, 65 Khalil, 2014, New operational matrix of integration and coupled system of Fredholm integral equations, Chin. J. Math., 2014, 10.1155/2014/146013 Kumar, 1987, A new collocation-type method for Hammerstein integral equations, Math. Comput., 48, 585, 10.1090/S0025-5718-1987-0878692-4 Kyurkchiev, 2015, Sigmoidal functions: some computational and modelling aspects, Biomath Commun., 1, 10.11145/j.bmc.2015.03.081 Le, 2013, A two-scale non-local model of swelling porous media incorporating ion size correlation effects, J. Mech. Phys. Solids, 61, 2493, 10.1016/j.jmps.2013.07.012 Nantomah, 2019, On some properties of the sigmoid function, Asia Math., 3, 79 Oliveira, 2021, Representation of discontinuous seismic velocity fields by sigmoidal functions for ray tracing and traveltime modelling, Geophys. J. Int., 224, 435, 10.1093/gji/ggaa476 Rocha, 2016, A new methodology for computing ionic profiles and disjoining pressure in swelling porous media, Comput. Geosci., 20, 975, 10.1007/s10596-016-9572-5 Rocha, 2018, Numerical analysis of a collocation method for functional integral equations, Appl. Numer. Math., 134, 31, 10.1016/j.apnum.2018.07.002 Vasileva, 2021, On the approximation of the Haar scaling function by sigmoidal scaling functions, Int. J. Differ. Equ. Appl., 20