Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equations

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YÜZBAŞI Ş.

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, cilt.11, sa.2, ss.344-352, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.jtusci.2016.04.001
  • Dergi Adı: JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.344-352
  • Anahtar Kelimeler: Delay Fredholm integro-differential equations, Numerical solution, Matrix method, Shifted Legendre polynomials, NUMERICAL-SOLUTION, COEFFICIENTS, COLLOCATION, SYSTEMS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we suggest a matrix method for obtaining the approximate solutions of the delay linear Fredholm integro-differential equations with constant coefficients using the shifted Legendre polynomials. The problem is considered with mixed conditions. Using the required matrix operations, the delay linear Fredholm integro-differential equation is transformed into a matrix equation. Additionally, error analysis for the method is presented using the residual function. Illustrative examples are given to demonstrate the efficiency of the method. The results obtained in this study are compared with the known results. (C) 2016 The Author. Production and hosting by Elsevier B.V. on behalf of Taibah University.