A novel method for solving a class of functional differential equations

Yıl 2020, Cilt: 22 Sayı: 1, 66 - 79, 10.01.2020

Burcu Gürbüz

https://doi.org/10.25092/baunfbed.673892

Cited By: 1

Öz

In this work, a novel numerical method based on generalized Laguerre series is introduced. The numerical technique is applied for the solution of a class of functional differential equations with variable delays. This numerical method is substantially related to generalized Laguerre series also its matrix forms as well as collocation points. By error estimation the pertinent features and applicability of the method are demonstrated.

Anahtar Kelimeler

Generalized Laguerre series, collocation methods, functional differential equations, variable delays

Teşekkür

The author would like to thank the Embassy of France in Turkey for their support her as “2019 Young Visiting Research Fellow”; to the University of Nantes, Jean Leray Mathematics Laboratory to use all the facilities in the department required for completing the work.

Fonksiyonel diferansiyel denklemlerin bir sınıfının çözümü için yeni bir yöntem

Öz

Bu çalışmada, genelleştirilmiş Laguerre serisine dayanan yeni bir sayısal yöntem tanıtıldı. Sayısal teknik, fonksiyonel diferansiyel denklemlerin değişken gecikmeli bir sınıfının çözümü için uygulanır. Bu sayısal yöntem, esas olarak genelleştirilmiş Laguerre serileri ile aynı zamanda matris formları ve sıralama noktaları ile ilgilidir. Hata tahmininde, yöntemin ilgili özellikleri ve uygulanabilirliği gösterilmektedir.

Anahtar Kelimeler

Genelleştirilmiş Laguerre serileri, sıralama yöntemleri, fonksiyonel diferansiyel denklemler, değişken gecikmeler

Kaynakça

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