Numerical recovering of leading coefficient of nonlinear parabolic equation

  • Ivanov Dulus Kh., M. K. Ammosov North-Eastern Federal University Institute of mathematics and Informatics 48 Kulakovsky Street, Yakutsk 677891, Russia
Keywords: inverse coefficient problem, parabolic equation, finite element method, FEniCS


We numerically recover the leading coefficient of one parabolic equation in a multidimensional region. We consider the case when the leading coefficient depends only on solution itself and observations are taken in some interior points of the region as an additional condition. Finite element method implemented by FEniCS library is used for numerical solution of the problem. Several examples of identification of the leading coefficient of a two-dimensional parabolic equation are given.


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How to Cite
Ivanov, D. ( ) “Numerical recovering of leading coefficient of nonlinear parabolic equation”, Mathematical notes of NEFU, 24(3), pp. 90-99. doi:
Mathematical Modeling