Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient

2009 ◽  
Vol 17 (5) ◽  
Author(s):  
A. N. Bondarenko ◽  
D. S. Ivaschenko
Keyword(s):  
Numerical Methods ◽  
Inverse Problems ◽  
Diffusion Equation ◽  
Variable Coefficient ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Time Fractional Diffusion Equation

scholarly journals REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION

2010 ◽  
Vol 52 (2) ◽  
pp. 123-138 ◽  
Author(s):  
WILLIAM MCLEAN
Keyword(s):  
Numerical Methods ◽  
Diffusion Equation ◽  
Fractional Diffusion ◽  
Spatial Domain ◽  
Fractional Diffusion Equation ◽  
Regularity Of Solutions ◽  
Partial Derivatives ◽  
Classical Diffusion ◽  
Time Fractional Diffusion Equation ◽  
Derivatives Of

AbstractWe prove estimates for the partial derivatives of the solution to a time-fractional diffusion equation posed over a bounded spatial domain. Such estimates are needed for the analysis of effective numerical methods, particularly since the solution is typically less regular than in the familiar case of classical diffusion.

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