Lineer İntegral Terim İçeren Duffing Denkleminin Shifted Chebyshev Polinomları ile Nümerik Çözümleri

Yıl 2015, Cilt: 15 Sayı: 2, 1 - 11, 30.08.2015

Ayşe Anapalı Ayşe Anapalı Yalçın Öztürk Mustafa Gülsu

https://doi.org/10.5578/fmbd.9211

Cited By: 2

Öz

Bu çalışmanın amacı linear terim içeren Duffing-van der Pol denkleminin shifted Chebyshev
polinomları yardımı ile yaklaşık çözümlerini sunmaktır. Bu amaçla Chebyshev sıralama
metodu verilmiştir. Metodun ana karekteristiği verilen denklemi kesilmiş Chebyshev
serisinin katasyılarının içeren bir denklem sistemine indirgemesidir. Bu sistem çözülerek
kesilmiş Chebyshev serisinin katsayıları bulunur. Dolayısıyla yaklaşık çözüm elde edilir.
Ayrıca, metodun uygulanabilirlini göstermek için örnekler sunulmuştur.

Anahtar Kelimeler

Duffing-Van der Pol denklemi, Duffing denklemi, Shifted Chebyshev Polinomları, Chebyshev serisi, Shifted Chebyshev polinom çözümleri, Yaklaşım metodu

Kaynakça

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