<i>n</i>-dimensional differential transformation method for solving PDEs

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Kurnaz A., Oturanç G., Kiris M. E.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.82, sa.3, ss.369-380, 2005 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 82 Sayı: 3
• Basım Tarihi: 2005
• Doi Numarası: 10.1080/0020716042000301725
• Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.369-380
• Hatay Mustafa Kemal Üniversitesi Adresli: Hayır

Özet

This paper presents the generalization of the differential transformation method to n-dimensional case in order to solve partial differential equations (PDEs). A distinctive practical feature of this method is its ability to solve especially nonlinear differential equations efficiently. We apply our results to a few initial boundary-value problems to illustrate the proposed method.