Numerical solution of nth-order integro-differential equations using trigonometric wavelets

Lakestanı M., Jokar M., Dehghan M.

Mathematical Methods in the Applied Sciences, cilt.34, sa.11, ss.1317-1329, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 11
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1002/mma.1439
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1317-1329
  • Anahtar Kelimeler: Hermite interpolation, integro-differential equations, operational matrix of derivative, trigonometric wavelets
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The main aim of this paper is to apply the trigonometric wavelets for the solution of the Fredholm integro-differential equations of nth-order. The operational matrices of derivative for trigonometric scaling functions and wavelets are presented and are utilized to reduce the solution of the Fredholm integro-differential equations to the solution of algebraic equations. Furthermore, we get an estimation of error bound for this method. Copyright © 2011 John Wiley & Sons, Ltd.