SOLUTION OF THE DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH INDEX 3 USING DIFFERENTIAL TRANSFORM METHOD

Yıl 2008, Sayı: 016, 25 - 30, 15.09.2008

Murat Osmanoğlu Muhammet Kurulay Mustafa Bayram

Öz

In this paper, we have applied the differential transform method to solve differential-algebraic equations with index 3. Two kind of differential-algebraic equations have been considered and solved numerically, then we compared numerical and analytical solution of the given equations. Examples were presented to show the ability of the method for differential-algebraic equations. We have used MAPLE computer algebra system to solve given problems[4].

Anahtar Kelimeler

Differential transform method, Differential-algebraic equation, Index of differential-algebraic equation, Power series

SOLUTION OF THE DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH INDEX 3 USING DIFFERENTIAL TRANSFORM METHOD

Öz

Bu makalede, 3 indexli diferensiyel cebirsel denklemleri çözmek için diferensiyel transform yöntemini kullandık. İki farklı diferensiyel cebirsel denklem nümerik olarak çözüldü. Nümerik ve analitik çözümler karşılaştırıldı. Bu örnekler, diferensiyel transform yönteminin, diferensiyel cebirsel denklemlerin çözümü için uygun bir yöntem olduğunu gösterir. Çözümler için MAPLE bilgisayar cebiri programı kullanıldı.

Anahtar Kelimeler

Diferensiyel Transform Yöntemi, Diferensiyel-Cebirsel denklem, Diferensiyel-cebirsel denklemlerin indexi, Kuvvet serisi, MAPLE

Kaynakça

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