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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
computer science
Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Padé technique
Computers and Mathematics with Applications, Volume 54, No. 7-8, Year 2007
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Description
In this paper, the variational iteration method (VIM) is reintroduced with Laplace transforms and the Padé technique treatment to obtain closed form solutions of nonlinear equations. Some examples, including the coupled Burger's equation, compacton k (n, n) equation, Zakharov-Kuznetsov Zk (n, n) equation, and KdV and mKdV equations are given to show the effectiveness of the coupled VIM-Laplace-Padé and VIM-Padé techniques. © 2007 Elsevier Ltd. All rights reserved.
Authors & Co-Authors
Abassy, Tamer A.
Egypt, Benha
Benha Faculty of Engineering
El-Tawil, Magdy A.
Egypt, Cairo
Faculty of Engineering
El-Zoheiry, H.
Egypt, Cairo
Faculty of Engineering
Statistics
Citations: 58
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1016/j.camwa.2006.12.067
ISSN:
08981221