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Numerical solution of a Fredholm integro-differential equation modelling neural networks
Affiliation:1. Department of Mathematics Applied to Information Technology, School of Telecommunication Engineering, UPM - Technical University of Madrid, Avda Complutense s/n. Ciudad Universitaria, 28040 Madrid, Spain;2. Group of DEFA - Department of Mathematics and Informatics, Faculty of Sciences, University Moulay Ismail, B.P. 4010, Beni M’hamed, Meknes, Morocco;1. National Engineering Research Center for Intelligent Electrical Vehicle Power System, School of Electromechanic Engineering, Qingdao University, Qingdao 266071, China;2. Institute of Mechanics for Multifunctional Materials and Structures, Qingdao University, Qingdao 266071, China;3. Center of Excellence for Ocean Engineering, National Taiwan Ocean University, Keelung 20224, Taiwan;1. Indian Institute of Technology Madras, Chennai, India;2. Delhi Technological University, Delhi, India
Abstract:We compare piecewise linear and polynomial collocation approaches for the numerical solution of a Fredholm integro-differential equations modelling neural networks. Both approaches combine the use of Gaussian quadrature rules on an infinite interval of integration with interpolation to a uniformly distributed grid on a bounded interval. These methods are illustrated by numerical experiments on neural networks equations.
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