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