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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 644-650New Variational Iteration Procedure for some...

New Variational Iteration Procedure for some Parabolic Equations with Fourth-Order Derivatives

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Abstract:

In this article, we present and discuss a class of new reduced order method based on He’s variational iteration procedure. We introduce two transformations and in a single space variable, and then formulate a second-order coupled system of equations. We can obtain the analytical approximate solutions for the scalar unknown u, time derivative and second-order space derivative, simultaneously. Moreover, an extension problem in two space variables is also proposed. Finally, we show some examples to illustrate the effectiveness of our procedure.

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Periodical:

Applied Mechanics and Materials (Volumes 644-650)

Pages:

1585-1589

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.644-650.1585

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Cite this paper

Online since:

September 2014

Authors:

Jin Feng Wang*, Yang Liu, Hong Li

Keywords:

Fourth-Order Parabolic Equations, New Reduced Order Method, Transformations, Variational Iteration Method

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* - Corresponding Author

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