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Zbl 1152.65463
Murio, Diego A.
Stable numerical solution of a fractional-diffusion inverse heat conduction problem. (English)
[J] Comput. Math. Appl. 53, No. 10, 1492-1501 (2007). ISSN 0898-1221

Summary: The ill-posed problem of attempting to recover the boundary temperature and the heat flux functions from one measured transient data temperature at some interior point of a one-dimensional semi-infinite conductor when the governing linear diffusion equation is of fractional type is discussed. A simple algorithm based on space marching mollification techniques is introduced for the numerical solution of the discrete problem. Stability bounds, error estimates and numerical examples of interest are also presented.

MSC 2000:: *65M12 Stability and convergence of numerical methods (IVP of PDE)
65M06 Finite difference methods (IVP of PDE)

Keywords: ill-posed problems; inverse heat conduction problem; numerical fractional differentiation; mollification

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