Approximate solution for integral equations involving linear Toeplitz plus Hankel parts

被引:1
|
作者
Dung, Vu Tien [1 ]
Ha, Quan Thai [1 ]
机构
[1] VNU Univ Sci, Dept Math, 334 Nguyen Trai, Hanoi, Vietnam
来源
COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 05期
关键词
First-kind integral equations; Toeplitz plus Hankel kernels; Ill-posed problem; Lavrentiev and iterative regularizations; Finite Hartley transforms; Parallel splitting-up methods; Monotone inclusion; REGULARIZATION;
D O I
10.1007/s40314-021-01558-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We propose three approximate methods using regularization techniques and finite Hartley transforms for solving first-kind integral equations involving linear Toeplitz plus Hankel parts. Numerical examples are given for illustrating these new algorithms.
引用
收藏
页数:20
相关论文
共 50 条
  • [41] APPROXIMATE METHOD FOR SOLUTION OF FILTRATION INTEGRAL EQUATIONS
    CHELPANOV, IB
    AUTOMATION AND REMOTE CONTROL, 1964, 24 (11) : 1331 - &
  • [42] Approximate solution to weakly singular integral equations
    Shoukralla, ES
    APPLIED MATHEMATICAL MODELLING, 1996, 20 (11) : 800 - 803
  • [43] APPROXIMATE SOLUTION OF SINGULAR INTEGRAL-EQUATIONS
    AFENDIKOVA, NG
    LIFANOV, IK
    MATVEEV, AF
    DIFFERENTIAL EQUATIONS, 1987, 23 (08) : 953 - 962
  • [44] THE APPROXIMATE SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS
    GRAY, MC
    SCHELKUNOFF, SA
    BELL SYSTEM TECHNICAL JOURNAL, 1948, 27 (02): : 350 - 364
  • [45] Approximate solution of linear differential equations
    Echi, Nadhem
    MATHEMATICAL AND COMPUTER MODELLING, 2013, 58 (7-8) : 1502 - 1509
  • [46] The approximate solution of differential linear equations
    Krawtchouk
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1929, 189 : 439 - 441
  • [47] A computable error bound for approximate solution of linear integral equations by adomian decomposition method
    Davari, A
    Babolian, E
    ICNAAM 2004: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2004, 2004, : 118 - 121
  • [48] Approximate solution of linear integral equations by Taylor ordering method: Applied mathematical approach
    Ghamkhar, Madiha
    Wajid, Laiba
    Shahzad, Khurrem
    Safdar, Rabia
    Alhazmi, Sharifah E.
    Lashin, Maha M. A.
    Jamshed, Wasim
    Eid, Mohamed R.
    Alkhatib, Soliman
    OPEN PHYSICS, 2022, 20 (01): : 850 - 858
  • [49] EFFICIENT SOLUTION OF LINEAR EQUATIONS WITH BANDED TOEPLITZ MATRICES
    DICKINSON, BW
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1979, 27 (04): : 421 - 423
  • [50] A multicore solution to Block–Toeplitz linear systems of equations
    Pedro Alonso
    Daniel Argüelles
    José Ranilla
    Antonio M. Vidal
    The Journal of Supercomputing, 2013, 65 : 999 - 1009