Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators

We investigate solutions of the Helmholtz equation involving local fractional derivative operators. We make use of the series expansion method and the variational iteration method, which are based upon the local fractional derivative operators. The nondifferentiable solution of the problem is obtain...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.359-364-237
Main Authors: Yang, Xiao-Jun, Srivástava, Hari Mohan, Chen, Zeng-Shun, Yang, Ai-Ming
Format: Article
Language:English
Subjects:
Derivatives
Differential equations, Partial
Helmholtz equations
Iterative methods (Mathematics)
Mathematical research
Operators
Series
Series expansion
Variational principles
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Summary:We investigate solutions of the Helmholtz equation involving local fractional derivative operators. We make use of the series expansion method and the variational iteration method, which are based upon the local fractional derivative operators. The nondifferentiable solution of the problem is obtained by using these methods.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/259125