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

页码：1236 / 1242

页数：6

共 50 条

[21] Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method
Yang, Yin
Tang, Zhuyan
Huang, Yunqing
APPLIED MATHEMATICS AND COMPUTATION, 2019, 349 : 314 - 324
[22] A New Variant of the Subdomain Method for Integral Equations of the Third Kind with Singularities in the Kernel
Gabbasov, N. S.
Zamaliev, R. R.
RUSSIAN MATHEMATICS, 2011, 55 (05) : 8 - 13
[23] Fast collocation methods for second kind integral equations
Chen, ZY
Micchelli, CA
Xu, YS
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 40 (01) : 344 - 375
[24] Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind
Okayama, Tomoaki
Matsuo, Takayasu
Sugihara, Masaaki
BIT NUMERICAL MATHEMATICS, 2011, 51 (02) : 339 - 366
[25] Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind
Tomoaki Okayama
Takayasu Matsuo
Masaaki Sugihara
BIT Numerical Mathematics, 2011, 51 : 339 - 366
[26] A New Version of the Subdomain Method for Linear Integral Equations with Fixed Singularities in the Kernel
N. S. Gabbasov
Differential Equations, 2003, 39 : 1289 - 1294
[27] A new version of the subdomain method for linear integral equations with fixed singularities in the kernel
Gabbasov, NS
DIFFERENTIAL EQUATIONS, 2003, 39 (09) : 1289 - 1294
[28] Nonlinear Integral Equations of the Second Kind: A New Version of Nystrom Method
Grammont, Laurence
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2013, 34 (05) : 496 - 515
[29] Special Version of the Spline Method for Integral Equations of the Third Kind-
N. S. Gabbasov
Differential Equations, 2019, 55 : 1218 - 1225
[30] On Numerical Solving Integral Equations of the Third Kind with Singularities in a Kernel
Gabbasov, N. S.
Galimova, Z. Kh.
RUSSIAN MATHEMATICS, 2016, 60 (12) : 28 - 35

← 1 2 3 4 5 →