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

BAYKUŞ SAVAŞANERİL N., Sezer M.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.27, sa.5, ss.1327-1339, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 5
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1002/num.20587
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1327-1339
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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