SOLUTION OF SHIFF SYSTEMS BY USING DIFFERENTIAL TRANSFORM METHOD

Bu çalışmada, stiff adi diferansiyel denklemleri çözmek için diferansiyel dönüşüm metodu kullanıldı ve teorisi tartışıtıldı. Metodun, lineer ve lineer olmayan diferansiyel denklem sistemlerine etkinliğini göstermek için, bazı örnekler verildi. Sayısal hesaplamalarda MAPLE bilgisayar cebiri sistemleri kullanıldı.

Anahtar Kelimeler:

stiff sistem, diferansiyel dönüşüm metodu, adi diferansiyel denklemlerin sayısal çözümü, MAPLE

SOLUTION OF SHIFF SYSTEMS BY USING DIFFERENTIAL TRANSFORM METHOD

In this paper, we use the differential transform method to solve stiff ordinary differential equations of the first order and an ordinary differential equation of any order by converting it into a system of differential of the order one. Theoretical considerations have been discussed and some examples were presented to show the ability of the method for linear and non-linear systems of differential equations. We use MAPLE computer algebra systems for numerical calculations [13].

Keywords:

Stiff system, the differential transform method, Numerical solution of the ordinary differential equations, MAPLE,

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