Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals
H. Çerdik Yaslan

doi:10.3970/cmes.2012.086.029
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 86, No. 1, pp. 29-38, 2012
Download Full length paper in PDF format. Size = 172,008 bytes
Keywords Time fractional anisotropic dynamic elasticity(3D), Three-dimensional quasicrystals, Icosahedral quasicrystal, Variational iteration method, Caputo derivative.
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.
PDF download PDF