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Application of moving least squares algorithm for solving systems of Volterra integral equations

  • Mashallah Matinfar , Elham Taghizadeh EMAIL logo and Masoumeh Pourabd

Abstract

The numerical method developed in the current paper is based on the moving least squares (MLS) method. To this end, the MLS approximation method has been used, and a program has been made which can solve the system of Volterra integral equations (VIEs) with any number of equations and unknown functions. And then the proposed method is implemented on the system of linear VIEs with variable coefficients. The numerical examples are given that show the acceptable accuracy and efficiency of the proposed scheme.

MSC 2010: 45D05; 45F05; 65D15

Corresponding author: Elham Taghizadeh, Department of Mathematics, University of Mazandran, P.O. Box 47415-95447, Babolsar, Islamic Republic of Iran, E-mail:

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2016-07-20
Revised: 2019-05-14
Accepted: 2021-02-22
Published Online: 2021-03-17
Published in Print: 2021-06-25

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