Semiorthogonal spline wavelets approximation for fredholm integro-differential equations

Lakestanı M., Razzaghi M., Dehghan M.

Mathematical Problems in Engineering, cilt.2006, ss.1-12, 2006 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2006
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1155/mpe/2006/96184
  • Dergi Adı: Mathematical Problems in Engineering
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-12
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

A method for solving the nonlinear second-order Fredholm integro-differential equations is presented. The approach is based on a compactly supported linear semiorthogonal B-spline wavelets. The operational matrices of derivative for B-spline scaling functions and wavelets are presented and utilized to reduce the solution of Fredholm integro-differential to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.