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Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals
Computer Modeling in Engineering & Sciences 2012, 86(1), 29-38. https://doi.org/10.3970/cmes.2012.086.029
Abstract
This paper presents the approximate analytical solutions to the time fractional differential equations of elasticity for 3D quasicrystals with initial conditions. These equations are written in the form of a vector partial differential equation of the second order. The time fractional vector partial differential equations with initial conditions are solved by variational iteration method (VIM). The fractional derivatives are described in the Caputo sense. Numerical example shows that the proposed method is quite effective and convenient for solving kinds of time fractional system of partial differential equations.Keywords
Time fractional anisotropic dynamic elasticity(3D), Three-dimensional quasicrystals, Icosahedral quasicrystal, Variational iteration method, Caputo derivative.
Cite This Article
APA Style
Yaslan, H.Ç. (2012). Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals. Computer Modeling in Engineering & Sciences, 86(1), 29–38. https://doi.org/10.3970/cmes.2012.086.029
Vancouver Style
Yaslan HÇ. Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals. Comput Model Eng Sci. 2012;86(1):29–38. https://doi.org/10.3970/cmes.2012.086.029
IEEE Style
H.Ç. Yaslan, “Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals,” Comput. Model. Eng. Sci., vol. 86, no. 1, pp. 29–38, 2012. https://doi.org/10.3970/cmes.2012.086.029
Copyright © 2012 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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