Solving fractional difference equations by discrete Adomian decomposition method

Yıl 2018, Cilt: 20 Sayı: 3, 15 - 22, 29.10.2018

Figen Özpınar

https://doi.org/10.25092/baunfbed.475977

Öz

In this paper, we propose the discrete Adomian decomposition method(DADM) to solve linear as well as nonlinear fractional partial difference equations and provide few examples to illustrate the applicability of proposed method.  The results show that DADM is efficient, accurate and can be applied to other fractional difference equations.

Anahtar Kelimeler

Discrete Adomian decomposition method, fractional order, partial difference equations

Ayrık Adomian ayrışım metodu ile kesirli mertebe fark denklemlerinin çözümü

Öz

Bu makalede, hem lineer hem de lineer olmayan kesirli mertebe kısmi fark denklemlerini çözmek için ayrık Adomian ayrışım metodunu(DADM) önerdik ve önerilen metodun uygulanabilirliğini göstermek için birkaç örnek verdik.  Sonuçlar, DADM’nin etkili, doğru ve diğer kesirli mertebe fark denklemlerine uygulanabileceğini gösterdi.

Anahtar Kelimeler

Ayrık Adomian ayrışım metodu, kesirli mertebe, kısmi fark denklemleri

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