Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method

2019 ◽  
Vol 145 ◽  
pp. 488-506 ◽  
Author(s):  
Mostafa Abbaszadeh ◽  
Mehdi Dehghan
Keyword(s):  
Wave Equation ◽  
Neutral Delay ◽  
Diffusion Wave ◽  
Element Free Galerkin ◽  
Element Free

scholarly journals Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Mostafa Abbaszadeh ◽  
Mehdi Dehghan ◽  
Mahmoud A. Zaky ◽  
Ahmed S. Hendy
Keyword(s):  
Fractional Derivative ◽  
Caputo Fractional Derivative ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Element Free Galerkin Method ◽  
Neutral Delay ◽  
Diffusion Wave ◽  
Element Free Galerkin ◽  
Numerical Formulation ◽  
Element Free

A numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. In line with this goal, the drift term and the time Caputo fractional derivative are discretized by a finite difference approximation. The energy method is used to investigate the rate of convergence and unconditional stability of the temporal discretization. The interpolation of moving Kriging technique is then used to approximate the space derivative, yielding a meshless numerical formulation. We conclude with some numerical experiments that validate the theoretical findings.

The improved element-free Galerkin method for three-dimensional wave equation

2012 ◽  
Vol 28 (3) ◽  
pp. 808-818 ◽  
Author(s):  
Zan Zhang ◽  
Dong-Ming Li ◽  
Yu-Min Cheng ◽  
Kim Moew Liew
Keyword(s):  
Wave Equation ◽  
Galerkin Method ◽  
Three Dimensional ◽  
Element Free Galerkin Method ◽  
Element Free Galerkin ◽  
Element Free ◽  
Dimensional Wave
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