n-Dimensional differential transformation method for solving PDEs

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...

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Bibliographic Details
Published in:International journal of computer mathematics 2005-03, Vol.82 (3), p.369-380
Main Authors: Kurnaz, Aydin, Oturanç, Galip, Kiris, Mehmet E.
Format: Article
Language:English
Subjects:
Differential inverse transformation
Differential transformation method
Initial value problems
Partial differential equation
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Summary: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.
ISSN:0020-7160
1029-0265
DOI:10.1080/0020716042000301725