scholarly journals Numerical solution of multi-term time fractional wave diffusion equation using transform based local meshless method and quadrature

2020 ◽  
Vol 5 (6) ◽  
pp. 5813-5838 ◽  
Author(s):  
Jing Li ◽  
◽  
Linlin Dai ◽  
Kamran ◽  
Waqas Nazeer ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Numerical Solution ◽  
Meshless Method ◽  
Wave Diffusion

scholarly journals Numerical methods for solving the multi-term time-fractional wave-diffusion equation

2013 ◽  
Vol 16 (1) ◽  
Author(s):  
Fawang Liu ◽  
Mark Meerschaert ◽  
Robert McGough ◽  
Pinghui Zhuang ◽  
Qingxia Liu
Keyword(s):  
Numerical Methods ◽  
Theoretical Analysis ◽  
Diffusion Equation ◽  
Fractional Derivatives ◽  
Fractional Laplacian ◽  
Numerical Results ◽  
Diffusion Equations ◽  
Time Space ◽  
Methods And Techniques ◽  
Wave Diffusion

AbstractIn this paper, the multi-term time-fractional wave-diffusion equations are considered. The multi-term time fractional derivatives are defined in the Caputo sense, whose orders belong to the intervals [0,1], [1,2), [0,2), [0,3), [2,3) and [2,4), respectively. Some computationally effective numerical methods are proposed for simulating the multi-term time-fractional wave-diffusion equations. The numerical results demonstrate the effectiveness of theoretical analysis. These methods and techniques can also be extended to other kinds of the multi-term fractional time-space models with fractional Laplacian.

The Best Perturbation Method for the Parameter Inversion of Two-Dimension Convection-Diffusion Equation

2013 ◽  
Vol 380-384 ◽  
pp. 1143-1146
Author(s):  
Xiang Guo Liu
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Perturbation Method ◽  
Numerical Simulations ◽  
Numerical Solution ◽  
Two Dimensional ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Parameter Inversion ◽  
Parametric Inversion

The paper researches the parametric inversion of the two-dimensional convection-diffusion equation by means of best perturbation method, draw a Numerical Solution for such inverse problem. It is shown by numerical simulations that the method is feasible and effective.

Numerical Solution to the Convective Diffusion Equation

1970 ◽  
Vol 6 (6) ◽  
pp. 1746-1752 ◽  
Author(s):  
C. A. Oster ◽  
J. C. Sonnichsen ◽  
R. T. Jaske
Keyword(s):  
Diffusion Equation ◽  
Numerical Solution ◽  
Convective Diffusion ◽  
Convective Diffusion Equation
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