Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients

Kurt N., Sezer M.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, vol.345, no.8, pp.839-850, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 345 Issue: 8
  • Publication Date: 2008
  • Doi Number: 10.1016/j.jfranklin.2008.04.016
  • Journal Name: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.839-850
  • Keywords: Taylor polynomials and series, Fredholm integral and integro-differential equations, Taylor matrix method, NUMERICAL-SOLUTION, APPROXIMATE SOLUTION, HYBRID FOURIER, TAU-METHOD, TAYLOR, ALGORITHM, TERMS
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this study, a practical matrix method is presented to find an approximate solution of high-order linear Fredholm integro-differential equations with constant coefficients under the initial-boundary conditions in terms of Taylor polynomials. The method converts the integro-differential equation to a matrix equation, which corresponds to a system of linear algebraic equations. Error analysis and illustrative examples are included to demonstrate the validity and applicability of the technique. (c) 2008 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.