The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials

Yalçinbaş S., Sezer M.

Applied Mathematics and Computation, vol.112, no.2-3, pp.291-308, 2000 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 112 Issue: 2-3
  • Publication Date: 2000
  • Doi Number: 10.1016/s0096-3003(99)00059-4
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.291-308
  • Keywords: Taylor polynomials and series, Volterra and Fredholm integral equations, integrodifferential equations
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In the present paper, a Taylor method is developed to find the approximate solution of high-order linear Volterra-Fredholm integro-differential equations under the mixed conditions in terms of Taylor polynomials about any point. In addition, examples that illustrate the pertinent features of the method are presented, and the results of study are discussed.