Exact Solutions of Some Partial Differential Equations Using the Modified Differential Transform Method
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SPRINGER INTERNATIONAL PUBLISHING AG
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we present the modification of the differential transform method by using Laplace transform and Pade approximation to obtain closed form solutions of linear and nonlinear partial differential equations. Some illustrative examples are given to demonstrate the activeness of the proposed technique. The obtained results ensure that this modified method is capable of solving a large number of linear and nonlinear PDEs that have wide application in science and engineering. It solves the drawbacks in the standard differential transform method.
Açıklama
Anahtar Kelimeler
Differential transform method, Pade approximation, Laplace transform, PDEs
Kaynak
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
42
Sayı
A1