TY - EJOU
AU - Yaslan, H. Ã‡erdik
TI - Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals
T2 - Computer Modeling in Engineering \& Sciences
PY - 2012
VL - 86
IS - 1
SN - 1526-1506
AB - 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.
KW - Time fractional anisotropic dynamic elasticity(3D)
KW - Three-dimensional quasicrystals
KW - Icosahedral quasicrystal
KW - Variational iteration method
KW - Caputo derivative
DO - 10.3970/cmes.2012.086.029