Approximate solution of high-order integro-differential equations using radial basis functions

Journal Title: Journal of Applied Computer Science & Mathematics - Year 2017, Vol 11, Issue 24

Abstract

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.

Authors and Affiliations

MAADADI Asma, MEROUANI Abdelbaki, RAHMOUNE Azedine

Keywords

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  • EP ID EP447492
  • DOI 10.4316/JACSM.201702004
  • Views 84
  • Downloads 0

How To Cite

MAADADI Asma, MEROUANI Abdelbaki, RAHMOUNE Azedine (2017). Approximate solution of high-order integro-differential equations using radial basis functions. Journal of Applied Computer Science & Mathematics, 11(24), 26-28. https://europub.co.uk/articles/-A-447492