Fibonacci collocation method for solving high-order linear fredholm integro-differential-difference equations

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Kurt A., Yalçnbaş S., Sezer M.

International Journal of Mathematics and Mathematical Sciences, cilt.2013, 2013 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2013
• Basım Tarihi: 2013
• Doi Numarası: 10.1155/2013/486013
• Dergi Adı: International Journal of Mathematics and Mathematical Sciences
• Derginin Tarandığı İndeksler: Scopus
• Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

A new collocation method based on the Fibonacci polynomials is introduced for the approximate solution of high order-linear Fredholm integro-differential- difference equations with the mixed conditions. The proposed method is analyzed to show the convergence of the method. Some further numerical experiments are carried out to demonstrate the method. © 2013 Ayşe Kurt et al.