A New Algorithm for Determining the Leading Coefficient of in the Parabolic Equation

This paper investigates the inverse problem of determining the unknown time-dependent leading coefficient in the parabolic equation using the usual conditions of the direct problem and an additional condition. An algorithm is developed for solving numerically the inverse problem using the technique of space decomposition in a reproducing kernel space. The leading coefficients can be solved by a lower triangular linear system. Numerical experiments are presented to show the efficiency of the proposed methods.

Authors:

• Shiping Zhou
• Minggen Cui

Keywords:

• parabolic equations
• coefficient inverse problem
• reproducing kernel.

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