Approximating a Retarded-Advanced Differential Equation Using Radial Basis Functions

  • M. Filomena TeodoroEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10408)


In last years we have got the approximation of the solution of a linear mixed type functional differential equation, considering the autonomous and non-autonomous case by collocation, least squares and finite element methods considering a polynomial basis. The present work introduces a numerical scheme using collocation and radial basis functions to solve numerically the non-linear mixed type equation with symmetric delay and advance. The results are similar using collocation, B-splines and exponential radial functions. The preliminary results are promising, but more simulations using different basis of radial functions are needed.


Mixed type functional differential equation Numerical approach Numerical solution Radial basis function 



This work was supported by Portuguese funds through the Center for Computational and Stochastic Mathematics (CEMAT), The Portuguese Foundation for Science and Technology (FCT), University of Lisbon, Portugal, project UID/Multi-/04621/2013, and Center of Naval Research (CINAV), Naval Academy, Portuguese Navy, Portugal.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.CEMAT, Instituto Superior TécnicoLisbon UniversityLisbonPortugal
  2. 2.CINAV, Naval Academy, Base Naval de LisboaAlmadaPortugal

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