LİNEER OLMAYAN BİRİNCİ MERTEBEDEN DİFFERENTİAL DENKLEM SİSTEMLERİNİN KUVVET SERİSİYLE ÇÖZÜMÜ

Yıl 2005, Cilt: 6 Sayı: 1, 107 - 111, 05.08.2016

Nuran Güzel Mustafa Bayram

Öz

Bu makalede, lineer olmayan adi diferansiyel denklemlerin çözümü için kuvvet serisini kullandık. Nümerik yoldan elde edilen sonuçlarla, teorik yoldan elde edilen sonuçlar karşılaştırıldı ve lineer olmayan differansiyel denklem sistemlerinde metodun etkinliğini göstermek için örnekler verildi. Nümerik hesap-lamalarda MAPLE bilgisayar cebiri sistemleri kullanıldı (FRANK, 1996).

Anahtar Kelimeler

Kuvvet serileri, Adi diferansiyel denklemlerin nümerik çözümü, MAPLE

POWER SERIES SOLUTION OF NON-LINEAR FIRST ORDER DIFFERENTIAL EQUATION SYSTEMS

Öz

In this paper, we use power series method to solve non-linear ordinary differential equations Theoretical considerations has been discussed and some examples were presented to show the ability of the method for non-linear systems of differential equations. We use MAPLE computer algebra systems for numerical calculations (FRANK, 1996).

Anahtar Kelimeler

Power series, Numerical solution of the ordinary differential equations, MAPLE.

Kaynakça

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