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Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals

H. Çerdik Yaslan1

1 Department of Mathematics, Pamukkale University, Denizli, 20070, Turkey

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.

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Yaslan, H. . (2012). Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals. CMES-Computer Modeling in Engineering & Sciences, 86(1), 29–38. https://doi.org/10.3970/cmes.2012.086.029



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