A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays

Gokmen E., Yuksel G., Sezer M.

Journal of Computational and Applied Mathematics, vol.311, pp.354-363, 2017 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 311
  • Publication Date: 2017
  • Doi Number: 10.1016/j.cam.2016.08.004
  • Journal Name: Journal of Computational and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.354-363
  • Keywords: Approximate solutions, Collocation method, Integro functional equations, Taylor polynomials
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, the Taylor collocation method has been used the integro functional equation with variable bounds. This method is essentially based on the truncated Taylor series and its matrix representations with collocation points. We have introduced the method to solve the functional integral equations with variable bounds. We have also improved error analysis for this method by using the residual function to estimate the absolute errors. To illustrate the pertinent features of the method numeric examples are presented and results are compared with the other methods. All numerical computations have been performed on the computer algebraic system Maple 15.