Chelyshkov collocation method for a class of mixed functional integro-differential equations

Oʇuz C., Sezer M.

Applied Mathematics and Computation, vol.259, pp.943-954, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 259
  • Publication Date: 2015
  • Doi Number: 10.1016/j.amc.2015.03.024
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.943-954
  • Keywords: Functional integro-differential equations, Chelyshkov polynomials and series, Collocation method, Residual error technique
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this study, a numerical matrix method based on Chelyshkov polynomials is presented to solve the linear functional integro-differential equations with variable coefficients under the initial-boundary conditions. This method transforms the functional equation to a matrix equation by means of collocation points. Also, using the residual function and Mean Value Theorem, an error analysis technique is developed. Some numerical examples are performed to illustrate the accuracy and applicability of the method.