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Some features of solving an inverse backward problem for a generalized Burgers’ equation
Journal of Inverse and Ill-posed Problems ( IF 0.9 ) Pub Date : 2020-09-25 , DOI: 10.1515/jiip-2020-0078
Dmitry V. Lukyanenko 1 , Igor V. Prigorniy 2 , Maxim A. Shishlenin 3
Affiliation  

Abstract In this paper, we consider an inverse backward problem for a nonlinear singularly perturbed parabolic equation of the Burgers’ type. We demonstrate how a method of asymptotic analysis of the direct problem allows developing a rather simple algorithm for solving the inverse problem in comparison with minimization of the cost functional. Numerical experiments demonstrate the effectiveness of this approach.

中文翻译:

求解广义 Burgers 方程逆向后问题的一些特征

摘要 在本文中,我们考虑伯格斯型非线性奇异摄动抛物线方程的逆向后向问题。我们演示了与成本函数的最小化相比,直接问题的渐近分析方法如何允许开发用于解决逆问题的相当简单的算法。数值实验证明了这种方法的有效性。
更新日期:2020-09-25
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