An order-optimal method of solving an inverse problem for a parabolic equation

被引：0
作者：
Tanana V.P. [1 ]
机构：
[1] Chelyabinsk State University, Chelyabinsk 454021
来源：
Journal of Applied and Industrial Mathematics | 2009年 / 3卷 / 3期
基金：
俄罗斯基础研究基金会;
关键词：
Inverse Problem; Approximate Solution; Industrial Mathematic; Parabolic Equation; Initial Problem;
D O I：
10.1134/S1990478909030107
中图分类号：
学科分类号：
摘要：
An order-optimal method is proposed of approximately solving an inverse problem for a parabolic equation with variable coefficients. We give an order-exact estimate for the error of the method. © Pleiades Publishing, Ltd. 2009.
引用
收藏
页码：395 / 400
页数：5
相关论文
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Kolmogorov A.V., Fomin S.V., Elements of Function Theory and Functional Analysis, (1972)
[2]  
Naimark M.A., Linear Differential Operators, (1969)
[3]  
Menikhes L.D., Tanana V.P., Finite-Dimension Approximation in the M. M. Lavrent'ev Method, Sibirsk. Zh. Vychisl. Mat., 1, 1, pp. 59-66, (1998)
[4]  
Tanana V.P., About Order-Optimality of the Projection Regularization Method for Solving Some Inverse Problems, Sibirsk. Zh. Indust. Mat., 7, 2, pp. 117-132, (2004)
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