The inverse source problem for the variable coefficients convection-diffusion equation

2007 ◽  
Vol 15 (5) ◽  
pp. 413-440 ◽  
Author(s):  
A. Rap ◽  
L. Elliott ◽  
D. B. Ingham ◽  
D. Lesnic ◽  
X. Wen
Keyword(s):  
Diffusion Equation ◽  
Variable Coefficients ◽  
Inverse Source Problem ◽  
Convection Diffusion ◽  
Convection Diffusion Equation

Wavelet method for a class of fractional convection-diffusion equation with variable coefficients

2010 ◽  
Vol 1 (3) ◽  
pp. 146-149 ◽  
Author(s):  
Yiming Chen ◽  
Yongbing Wu ◽  
Yuhuan Cui ◽  
Zhuangzhuang Wang ◽  
Dongmei Jin
Keyword(s):  
Diffusion Equation ◽  
Variable Coefficients ◽  
Wavelet Method ◽  
Convection Diffusion ◽  
Convection Diffusion Equation

scholarly journals Sinc-Galerkin method for solving the time fractional convection–diffusion equation with variable coefficients

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Li Juan Chen ◽  
MingZhu Li ◽  
Qiang Xu
Keyword(s):  
Diffusion Equation ◽  
Galerkin Method ◽  
Numerical Scheme ◽  
Variable Coefficients ◽  
Exponential Rate ◽  
Order Accuracy ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Exponential Rate Of Convergence ◽  
Time Fractional Derivative

Abstract In this paper, a new numerical algorithm for solving the time fractional convection–diffusion equation with variable coefficients is proposed. The time fractional derivative is estimated using the $L_{1}$ L 1 formula, and the spatial derivative is discretized by the sinc-Galerkin method. The convergence analysis of this method is investigated in detail. The numerical solution is $2-\alpha$ 2 − α order accuracy in time and exponential rate of convergence in space. Finally, some numerical examples are given to show the effectiveness of the numerical scheme.

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