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

Yalcinbas S., Sezer M.

APPLIED MATHEMATICS AND COMPUTATION, vol.112, pp.291-308, 2000 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 112
  • 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
  • Dokuz Eylül University Affiliated: No

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. (C) 2000 Elsevier Science Inc, All rights reserved.