Yang, Liu; Dehghan, Mehdi; Yu, Jian-Ning; Luo, Guan-Wei - In: Mathematics and Computers in Simulation (MATCOM) 81 (2011) 8, pp. 1656-1672
This work studies the inverse problem of reconstructing a time-dependent heat source in the heat conduction equation … several fields of applied science. By the Green’s function method, the inverse problem is reduced to an operator equation of … the first kind which is known to be ill-posed. The uniqueness of the solution for the inverse problem is obtained by the …