Solution of High-Order Linear Fredholm Integro-Differential Equations with Piecewise Intervals

BAYKUŞ SAVAŞANERİL N., Sezer M.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.27, no.5, pp.1327-1339, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 5
  • Publication Date: 2011
  • Doi Number: 10.1002/num.20587
  • Journal Name: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1327-1339
  • Keywords: Fredholm integral and integro-differential equations, Taylor matrix method, Taylor polynomials and series, NUMERICAL-SOLUTION, APPROXIMATE SOLUTION, POLYNOMIAL SOLUTION, INTEGRAL-EQUATIONS, TAU-METHOD, TAYLOR, ALGORITHM, SYSTEM, TERMS
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this study, a practical matrix method is presented to find an approximate solution for high-order linear Fredholm integro-differential equations with piecewise intervals 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) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1327-1339, 2011