Numerical Determination of Source from Point Observation in a Time-Fractional Boundary-Value Problem on Disjoint Intervals
摘要
In the present work, we solve numerically an inverse problem for identification of sources from point observations in a time-fractional diffusion-reaction problem defined on disjoint intervals. The fractional derivative is in Caputo sense with different fractional order on each of the subintervals. We propose algorithms, based on decomposition with respect to the sources on time adaptive mesh. Numerical tests illustrate the efficiency of the proposed approach.