A Note on the Hyperbolic-Parabolic Identification Problem with Nonlocal Conditions

被引：2
|
作者：
Ashyraliyev, Maksat [1 ]
Ashyralyyeva, Maral [2 ]
机构：
[1] Bahcesehir Univ, Dept Software Engn, TR-34353 Istanbul, Turkey
[2] Magtymguly Turkmen State Univ, Dept Appl Math & Informat, Ashkhabad 744000, Turkmenistan
来源：
FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020) | 2021年 / 2334卷
关键词：
Hyperbolic-parabolic equation; source identification problem; difference scheme;
D O I：
10.1063/5.0042271
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we study a source identification problem for hyperbolic-parabolic equation with nonlocal conditions. The stability estimates for the solution of this source identification problem are established. Furthermore, we construct the second order of accuracy difference scheme for the approximate solution of the problem under consideration. The stability estimates for the solution of this difference scheme are presented.
引用
收藏
页数：4
相关论文
共 50 条
  • [1] On the Source Identification Problem for Hyperbolic-Parabolic Equation with Nonlocal Conditions
    Ashyraliyev, Maksat
    Ashyralyev, Allaberen
    Zvyagin, Viktor
    INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020), 2021, 2325
  • [2] Numerical Solution of a Hyperbolic-Parabolic Problem with Nonlocal Boundary Conditions
    Ashyralyev, Allaberen
    Ozdemir, Yildirim
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2012, 6 : 31 - 48
  • [3] A note on the hyperbolic-parabolic identification problem with involution and Dirichlet boundary condition
    Ashyraliyev, Maksat
    Ashyralyyeva, Maral A.
    Ashyralyev, Allaberen
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2020, 99 (03): : 120 - 129
  • [4] On a nonlocal boundary value problem for semilinear hyperbolic-parabolic equations
    Ashyralyev, A
    Yurtsever, A
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (05) : 3585 - 3592
  • [5] A NOTE ON DIFFERENCE SCHEMES OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC-PARABOLIC EQUATIONS
    Ashyralyev, Allaberen
    Ozdemir, Yildirim
    ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE, 2010, 1309 : 725 - +
  • [6] Numerical Solutions of Source Identification Problem for Hyperbolic-Parabolic Equations
    Ashyralyyeva, Maral
    Ashyraliyev, Maksat
    INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018), 2018, 1997
  • [7] The Frankl' Problem for a Hyperbolic-Parabolic Equation
    A. V. Pskhu
    Differential Equations, 2003, 39 : 112 - 120
  • [8] The Frankl' problem for a hyperbolic-parabolic equation
    Pskhu, AV
    DIFFERENTIAL EQUATIONS, 2003, 39 (01) : 112 - 120
  • [9] On nonlocal boundary value problems for hyperbolic-parabolic equations
    Ashyralyev, Allaberen
    Ozdemir, Yildirim
    TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (04): : 1075 - 1089
  • [10] A Note on Homogenization of the Hyperbolic-Parabolic Equations in Domains with Holes
    Zhanying YANG
    Xianhe ZHAO
    JournalofMathematicalResearchwithApplications, 2016, 36 (04) : 485 - 494
12345