Inverse coefficient problem for quasilinear pseudo-parabolic equation by Fourier method

被引：2
|
作者：
Baglan, Irem [1 ]
Akdemir, Ahmet Ocak [2 ]
Dokuyucu, Mustafa Ali [2 ]
机构：
[1] Kocaeli Univ, Fac Sci & Arts, Dept Math, Kocaeli, Turkiye
[2] Agri Ibrahim Cecen Univ, Fac Sci & Arts, Dept Math, Agri, Turkiye
来源：
FILOMAT | 2023年 / 37卷 / 21期
关键词：
Pseudo-parabolic Equation; Fourier Method; Inverse Coefficient Problem;
D O I：
10.2298/FIL2321217B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this research, we consider a coefficient problem of an inverse problem of a quasilinear pseudo-parabolic equation with nonlocal boundary condition. We prove the existence, uniqueness and continuously dependence upon the data of the solution by iteration method. Also we consider numerical solution for this inverse problem by using linearization and finite difference method.
引用
收藏
页码：7217 / 7230
页数：14
相关论文
共 50 条
  • [1] Fourier Method For an Existence of Quasilinear Inverse Pseudo-Parabolic Equation
    Baglan, Irem
    Kanca, Fatma
    Mishra, Vishnu Narayan
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2024, 19 (01): : 193 - 209
  • [2] FOURIER METHOD FOR THE INVERSE COEFFICIENT OF THE PSEUDO-PARABOLIC EQUATION WITH NON-LOCAL BOUNDARY CONDITION
    Baglan, I
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (04): : 857 - 865
  • [3] An inverse problem for the pseudo-parabolic equation for Laplace operator
    Ruzhansky, M.
    Serikbaev, D.
    Tokmagambetov, N.
    INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS, 2019, 10 (01): : 23 - 28
  • [4] An inverse source problem for pseudo-parabolic equation with Caputo derivative
    Long, Le Dinh
    Luc, Nguyen Hoang
    Tatar, Salih
    Baleanu, Dumitru
    Can, Nguyen Huu
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (02) : 739 - 765
  • [5] AN INVERSE PROBLEM FOR THE PSEUDO-PARABOLIC EQUATION WITH P-LAPLACIAN
    Antontsev, Stanislav Nikolaevich
    Aitzhanov, Serik Ersultanovich
    Ashurova, Guzel Rashitkhuzhakyzy
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, 11 (02): : 399 - 414
  • [6] An inverse source problem for pseudo-parabolic equation with Caputo derivative
    Le Dinh Long
    Nguyen Hoang Luc
    Salih Tatar
    Dumitru Baleanu
    Nguyen Huu Can
    Journal of Applied Mathematics and Computing, 2022, 68 : 739 - 765
  • [7] INVERSE PROBLEM FOR FRACTIONAL ORDER PSEUDO-PARABOLIC EQUATION WITH INVOLUTION
    Serikbaev, D.
    UFA MATHEMATICAL JOURNAL, 2020, 12 (04): : 119 - 135
  • [8] The inverse problem for determining the right part of the pseudo-parabolic equation
    Khompysh, Kh
    Shakir, A.
    JOURNAL OF MATHEMATICS MECHANICS AND COMPUTER SCIENCE, 2020, 105 (01): : 87 - 98
  • [9] AN INVERSE PROBLEM FOR THE PSEUDO-PARABOLIC EQUATION FOR A STURM-LIOUVILLE OPERATOR
    Serikbaev, D.
    Tokmagambetov, N.
    NEWS OF THE NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF KAZAKHSTAN-SERIES PHYSICO-MATHEMATICAL, 2019, 4 (326): : 122 - 128
  • [10] Blow-up solution and stability to an inverse problem for a pseudo-parabolic equation
    Yaman, M.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
12345