Element-Free Galerkin (EFG) Method for Time Fractional Partial Differential Equations
In this paper, the first order time derivative of time fractional partial differential equations are replaced by the Caputo fractional order derivative. We derive the numerical solution of this equation using the Element-free Galerkin (EFG) method. In order to obtain the discrete equation, a various method is used and the essential boundary conditions are enforced by the penalty method. Numerical examples are presented and the results are in good agreement with exact solutions.
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
Y. Q. Liu et al., "Element-Free Galerkin (EFG) Method for Time Fractional Partial Differential Equations", Applied Mechanics and Materials, Vols. 101-102, pp. 343-347, 2012