Numerical solution of fourth-order integro-differential equations using Chebyshev cardinal functions

Lakestanı M., Dehghan M.

International Journal of Computer Mathematics, cilt.87, sa.6, ss.1389-1394, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 87 Sayı: 6
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1080/00207160802322357
  • Dergi Adı: International Journal of Computer Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1389-1394
  • Anahtar Kelimeler: Chebyshev cardinal functions, Integro-differential equations, Operational matrix of derivative
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

A numerical technique is presented for the solution of fourth-order integro-differential equations. This method uses the Chebyshev cardinal functions. The method consists of expanding the required approximate solution as the elements of Chebyshev cardinal functions. Using the operational matrix of derivative, we reduce the problem to a set of algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces very accurate results.