A numerical method for an inverse source problem for parabolic equations and its application to a coefficient inverse problem
作者： Loc Hoang Nguyen , Phuong Mai Nguyen
DOI:
关键词: Linearization 、 Numerical analysis 、 Term (logic) 、 Inverse problem 、 Two stages 、 Applied mathematics 、 Inverse source problem 、 Parabolic partial differential equation 、 Mathematics 、 Derivative
摘要: Two main aims of this paper are to develop a numerical method solve an inverse source problem for parabolic equations and apply it nonlinear coefficient problem. The in is the reconstruct term from external observations. Our consists two stages. We first establish equation derivative solution with respect time variable. Then, second stage, we by quasi-reversibility method. considered linearization Hence, iteratively solving provides that Numerical results under consideration corresponding presented.
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