Exact Solutions of Some Partial Differential Equations Using the Modified Differential Transform Method

Küçük Resim Yok

Tarih

2018

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

Künye