Open AccessApproximate solution of high-order integro-differential equations using radial basis functions
Author(s) -
Asma Maadadi,
Abdelbaki Merouani,
Azedine Rahmoune
Publication year - 2017
Publication title -
journal of applied computer science and mathematics/journal of applied computer science
Language(s) - English
Resource type - Journals
eISSN - 2066-3129
pISSN - 1843-1046
DOI - 10.4316/jacsm.201702004
Subject(s) - radial basis function , basis (linear algebra) , mathematics , differential equation , mathematical analysis , basis function , order (exchange) , differential (mechanical device) , computer science , physics , geometry , artificial intelligence , thermodynamics , finance , artificial neural network , economics
In this paper, we present a numerical method to solve linear and nonlinear high-order Volterra integro-differential equations. This method is based on interpolating by radial basis functions, using Legendre-Gauss-Lobatto nodes and weights. The proposed method reduces the main problem to linear or nonlinear system of algebraic equations. Some numerical examples illustrate the efficiency of the presented method