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Time fractional diffusion equations are used when attempting to describe transport processes with long memory where the rate of diffusion is inconsistent with the classical Brownian motion model. In this paper we develop an implicit unconditionally stable numerical method to solve the one-dimensional linear time fractional diffusion equation, formulated(More)
The identification of parameters in classical parabolic equations is an ill-posed problem that has received considerable attention from many researchers in a variety of fields, using different methods. In particular, the determination of diffusivity coefficients in the one and two dimensional inverse heat conduction problem (IHCP) is a parameter(More)
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