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Different applications for the differential transformation in the differential equations
Faculty
Science
Year:
2002
Type of Publication:
Article
Pages:
183-201
Authors:
Hassan, IHAH
Journal:
APPLIED MATHEMATICS AND COMPUTATION ELSEVIER SCIENCE INC
Volume:
129
Research Area:
Mathematics
ISSN
ISI:000176137600003
Keywords :
differential transform, differential inverse transform, ordinary differential equations, partial differential equations, eigenvalues
Abstract:
The differential transformation technique which is applied to solve eigenvalue problems and to solve partial differential equations (P.D.E.) is proposed in this study. First, using the one-dimensional differential transformation to construct the eigenvalues and the normalized eigenfunctions for the differential equation of the second- and the fourth-order. Second, using the two-dimensional differential transformation to solve P.D.E. of the first- and second-order with constant coefficients. In both cases, a set of difference equations is derived and the calculated results are compared closely with the results obtained by other analytical methods. (C) 2002 Elsevier Science Inc. All rights reserved.
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