Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method

The aim of this study is to give a good strategy for solving some linear and nonlinear partial differential equations in engineering and physics fields, by combining Laplace transform and the modified variational iteration method. This method is based on the variational iteration method, Laplace tra...

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Bibliographic Details
Published inJournal of function spaces Vol. 2014; no. 2014; pp. 1 - 5
Main Authors Hilal, Eman M. A., Elzaki, Tarig M.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2014
Hindawi Limited
Wiley
Subjects
Applied mathematics
Convolution integrals
Fourier transforms
Function space
Initial conditions
Integrals
Lagrange multiplier
Laplace transforms
Mathematics
Methods
Nonlinear differential equations
Partial differential equations
Physics
Strategy
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Summary:The aim of this study is to give a good strategy for solving some linear and nonlinear partial differential equations in engineering and physics fields, by combining Laplace transform and the modified variational iteration method. This method is based on the variational iteration method, Laplace transforms, and convolution integral, introducing an alternative Laplace correction functional and expressing the integral as a convolution. Some examples in physical engineering are provided to illustrate the simplicity and reliability of this method. The solutions of these examples are contingent only on the initial conditions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:2314-8896
2314-8888
DOI:10.1155/2014/790714