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Chelyshkov collocation approach for solving linear weakly singular Volterra integral equations

  • Y. TalaeiEmail author
Original Research
  • 60 Downloads

Abstract

The purpose of this paper is to present a new numerical algorithm for solving the weakly singular Volterra integral equations. The operational matrix of fractional integral based on fractional-order Chelyshkov polynomials is constructed and together with the collocation method is used to reduce the integral equation into a system of algebraic equations. The convergence of the method is discussed in \(L^{2}\)-norm and finally, some numerical examples are shown to illustrate the accuracy of the proposed method.

Keywords

Weakly singular Volterra integral equation Spectral collocation method Fractional-order Chelyshkov polynomials Convergence analysis 

Mathematics Subject Classification

45G05 65M70 33C45 

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Copyright information

© Korean Society for Computational and Applied Mathematics 2018

Authors and Affiliations

  1. 1.Young Researchers and Elite Club, Ardabil BranchIslamic Azad UniversityArdabilIran

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