Numerical Solution of Linear Volterra Integral Equation Systems of Second Kind by Radial Basis Functions

Pedro González-Rodelas, Miguel Pasadas, Abdelouahed Kouibia and Basim Mustafa
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Pedro González-Rodelas: Department of Applied Mathematics, Granada University, 18071 Granada, Spain
Miguel Pasadas: Department of Applied Mathematics, Granada University, 18071 Granada, Spain
Abdelouahed Kouibia: Department of Applied Mathematics, Granada University, 18071 Granada, Spain
Basim Mustafa: Department of Applied Mathematics, Granada University, 18071 Granada, Spain

Mathematics, 2022, vol. 10, issue 2, 1-15

Abstract: In this paper we propose an approximation method for solving second kind Volterra integral equation systems by radial basis functions. It is based on the minimization of a suitable functional in a discrete space generated by compactly supported radial basis functions of Wendland type. We prove two convergence results, and we highlight this because most recent published papers in the literature do not include any. We present some numerical examples in order to show and justify the validity of the proposed method. Our proposed technique gives an acceptable accuracy with small use of the data, resulting also in a low computational cost.

Keywords: Volterra integral equations system; radial basis functions; variational methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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