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
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
共 50 条
  • [31] On solvability of the inverse problem for a fourth-order parabolic equation with a complex-valued coefficient
    Imanbetova, A. B.
    Sarsenbi, A. A.
    Seilbekov, B.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2024, 113 (01): : 60 - 72
  • [32] Research of Genetic Algorithm for Parabolic Equation Inverse Problem
    Peng, Yamian
    Zhou, Guanchen
    Zhao, Huijuan
    INTELLIGENT STRUCTURE AND VIBRATION CONTROL, PTS 1 AND 2, 2011, 50-51 : 428 - +
  • [33] An Approximate Method for Solving an Inverse Coefficient Problem for the Heat Equation
    Boykov I.V.
    Ryazantsev V.A.
    Journal of Applied and Industrial Mathematics, 2021, 15 (02) : 175 - 189
  • [34] An inverse problem of identifying the coefficient of first-order in a degenerate parabolic equation
    Deng, Zui-Cha
    Yang, Liu
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (15) : 4404 - 4417
  • [35] A globally convergent numerical method for a coefficient inverse problem for a parabolic equation
    Baysal, Onur
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 289 : 153 - 172
  • [36] Optimization method for the inverse problem of reconstructing the source term in a parabolic equation
    Yang, Liu
    Deng, Zui-Cha
    Yu, Jian-Ning
    Luo, Guan-Wei
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 80 (02) : 314 - 326
  • [37] Direct numerical method for an inverse problem of a parabolic partial differential equation
    Liao, Wenyuan
    Dehghan, Mehdi
    Mohebbi, Akbar
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 232 (02) : 351 - 360
  • [38] Finite volume method for solving a one-dimensional parabolic inverse problem
    Wang, Bo
    Zou, Guang-an
    Zhao, Peng
    Wang, Qiang
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5227 - 5235
  • [39] Inverse problem of simultaneous determination of two coefficients in a parabolic equation
    Ivanchov M.I.
    Ukrainian Mathematical Journal, 2000, 52 (3) : 379 - 387
  • [40] COEFFICIENT INVERSE PROBLEM FOR THE DEGENERATE PARABOLIC EQUATION
    Huzyk, Nadha
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2021, 13 (03): : 243 - 255