Special version of the collocation method for integral equations of the second kind with singularities in the kernel

被引：0
|
作者：
N. S. Gabbasov
Z. Kh. Galimova
机构：
[1] Kazan Federal University Naberezhnye Chelny Institute,
[2] Naberezhnye Chelny Branch,undefined
[3] Kazan Institute of Economics,undefined
[4] Management,undefined
[5] and Law,undefined
来源：
Differential Equations | 2015年 / 51卷
关键词：
Integral Equation; Approximate Solution; Collocation Method; Linear Algebraic Equation; Special Version;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a linear integral equation of the second kind with fixed singularities in the kernel. For its approximate solution in the space of “pointwise smooth” functions, we suggest and justify a new version of the collocation method based on the use of special interpolation polynomials.
引用
收藏
页码：1236 / 1242
页数：6
相关论文
共 50 条
  • [31] Special Version of the Collocation Method for a Class of Integral Equations of the Third Kind Based on Hermite-Fejer Interpolation Polynomials
    Solov'eva, Svetlana A.
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2014, 7 (02): : 254 - 259
  • [32] The Collocation Method with Parabolic Splines for Integral Equations with Singularities
    R. R. Pallav
    A. A. Pedas
    Differential Equations, 2003, 39 : 1343 - 1352
  • [33] Iterated Fast Collocation Methods for Integral Equations of the Second Kind
    Chen, Zhongying
    Long, Guangqing
    Nelakanti, Gnaneshwar
    Zhang, Yongdong
    JOURNAL OF SCIENTIFIC COMPUTING, 2013, 57 (03) : 502 - 517
  • [34] The collocation method with parabolic splines for integral equations with singularities
    Pallav, RR
    Pedas, AA
    DIFFERENTIAL EQUATIONS, 2003, 39 (09) : 1343 - 1352
  • [35] Collocation methods for solving multivariable integral equations of the second kind
    Allouch, C.
    Sablonniere, P.
    Sbibih, D.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (17) : 4494 - 4512
  • [36] Iterated Fast Collocation Methods for Integral Equations of the Second Kind
    Zhongying Chen
    Guangqing Long
    Gnaneshwar Nelakanti
    Yongdong Zhang
    Journal of Scientific Computing, 2013, 57 : 502 - 517
  • [37] A Modified Degenerate Kernel Method for the System of Fredholm Integral Equations of the Second Kind
    Molabahrami, Ahmad
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2019, 14 (01): : 43 - 53
  • [38] A Novel Method for Solving Second Kind Volterra Integral Equations with Discontinuous Kernel
    Noeiaghdam, Samad
    Micula, Sanda
    MATHEMATICS, 2021, 9 (17)
  • [39] hp-version collocation method for a class of nonlinear Volterra integral equations of the first kind
    Nedaiasl, Khadijeh
    Dehbozorgi, Raziyeh
    Maleknejad, Khosrow
    APPLIED NUMERICAL MATHEMATICS, 2020, 150 : 452 - 477
  • [40] A Collocation Method for Volterra Integral Equations with Diagonal and Boundary Singularities
    Kolk, Marek
    Pedas, Arvet
    Vainikko, Gennadi
    COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING, VOL 2: ADVANCES IN COMPUTATIONAL SCIENCE, 2009, 1148 : 153 - 156
12345