Paper Title:
Element-Free Galerkin (EFG) Method for Time Fractional Partial Differential Equations
  Abstract

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.

  Info
Periodical
Chapter
Chapter 2: Simulation and Engineering Optimization
Edited by
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
Pages
343-347
DOI
10.4028/www.scientific.net/AMM.101-102.343
Citation
Y. Q. Liu, R. J. Cheng, H. X. Ge, "Element-Free Galerkin (EFG) Method for Time Fractional Partial Differential Equations", Applied Mechanics and Materials, Vols. 101-102, pp. 343-347, 2012
Online since
September 2011
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Price
$32.00
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