SABiT KATSAYILI LiNEER DiFERENSiYEL CEBiRSEL DENKLEMLERiN DiFERENSiYEL DÖNÜŞÜM YÖNTEMİ İLE NÜMERİK ÇÖZÜMÜ

Öz

In this study, we have investigated solvability of the linear differential-algebraic equations with constant coefficient which ocur in most of the modelles in engineering and physical sciences. Differential transform method has been used for numerical solution. We have obtained approximate analitical solution of the given equation systems using the method and compared numerical and analitycal solutions.

Anahtar Kelimeler

• Diferensitial-algebraic equations,solvability,power series,index,differential transform method

SABiT KATSAYILI LiNEER DiFERENSiYEL CEBiRSEL DENKLEMLERiN DiFERENSiYEL DÖNÜŞÜM YÖNTEMİ İLE NÜMERİK ÇÖZÜMÜ

Öz

Bu cahsmada. miihendislik ve fen bilimleri alanindaki ~ogu modellemelerde ortaya cikan sabit katsayili lineer diferensiyel cebirsel denklem sistemlerinin cozulebilirligi arastmldi. Niimerik cozum icin diferensiyel donusurn metodu kullamldi. Bu metotIa denklem sistemlerinin yaklasik analitik cozumleri bulundu ve bu cozumler tam cozumlerle karsilastrıldı.

Anahtar Kelimeler

• Diferensiyel cebirsel denklem,cozulebilirlik,kuvvet serileri,index,diferensiyel donusum metodu

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