Abstract
In the present research, a time fractional inverse diffusion-wave
problem of finding the inaccessible boundary value, by the input data at
an interior point, is investigated. The numerical algorithm is based on
the marching finite difference method. Because of ill-posedness of this
inverse problem, we apply the mollification regularization technique to
obtain a stable numerical solution. It is proven that the numerical scheme
is stable and convergent. In the end, the performance of the proposed
numerical approach is assessed by some test examples.
Afshin Babaei, Seddigheh Banihashemi, Alireza Mohammadpour. (2019) A Numerical Scheme to Solve an Inverse Problem Related to a Time-Fractional Diffusion-Wave Equation with an Unknown Boundary Condition, Punjab University Journal of Mathematics, Volume 51, Issue 2.
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