Abstract : The inverse problems for a parabolic equation with an unknown source (space or time dependent) on the right-hand side are considered. The numerical method is based on the method of lines. The results of numerical experiments on test problems are given.
K.R. Aida-Zade, Anar Rahimov. An approach to numerical solution of some inverse problems for parabolic equations. Inverse Problems in Science and Engineering, Taylor & Francis, 2013, 22 (1), pp.96-111. ⟨10.1080/17415977.2013.827184⟩. ⟨hal-01279566⟩