Solution of the different typesof partial differantial equations using differantial transform and adomian decomposition methods

Yıl 2013, Cilt: 3 Sayı: 1, 8 - 26, 01.06.2013

S. Çatal Seval Catal

Öz

In this study, the Differential Transform Method (DTM) and Adomian’sDecomposition Method (ADM) are applied to certain linear and non-linear partialdifferential equations

Anahtar Kelimeler

linear and nonlinear partial differential equations, differential transformmethod, Adomian decomposition method

DİFERANSİYEL DÖNÜŞÜM VE ADOMIAN AYRIŞTIRMA YÖNTEMLERİ İLE FARKLI TİPTE KISMİ DIFERANSİYEL DENKLEMLERİN ÇÖZÜMLERİ

Öz

Bu çalışmada, Diferansiyel Dönüşüm Metodu (DTM) ve Adomian Ayrıştırma Metodu (ADM) uygulanarak belirli doğrusal ve doğrusal olmayan kısmi diferansiyel denklemlerin nümerik-analitik çözümleri sunulmuştur.

Anahtar Kelimeler

doğrusal kısmi diferansiyel denklemler, doğrusal olmayan kısmi diferansiyel denklemler, diferansiyel dönüşüm yöntemi, Adomian ayrıştırma yöntemi.

Kaynakça

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