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

[31] Special variants of collocation method for integral equations in a singular case
Gabbasov N.S.
Zamaliev R.R.
Russian Mathematics, 2017, 61 (5) : 38 - 45
[32] 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
[33] Regularized collocation method for Fredholm integral equations of the first kind
Nair, M. Thamban
Pereverzev, Sergei V.
JOURNAL OF COMPLEXITY, 2007, 23 (4-6) : 454 - 467
[34] New versions of spline methods for integral equations of the third kind with singularities in the kernel
N. S. Gabbasov
R. R. Zamaliev
Differential Equations, 2010, 46 : 1330 - 1338
[35] New Versions of Spline Methods for Integral Equations of the Third Kind with Singularities in the Kernel
Gabbasov, N. S.
Zamaliev, R. R.
DIFFERENTIAL EQUATIONS, 2010, 46 (09) : 1330 - 1338
[36] Special Version of the Subdomain Method for a Class of Integral Equations of the Third Kind in the Space of Distributions
Gabbasov, N. S.
Solov'eva, S. S.
RUSSIAN MATHEMATICS, 2014, 58 (07) : 42 - 47
[37] Collocation and modified collocation methods for solving second kind Fredholm integral equations in weighted spaces
Allouch, Chafik
APPLIED NUMERICAL MATHEMATICS, 2024, 198 : 202 - 216
[38] Hybrid collocation method for some classes of second-kind nonlinear weakly singular integral equations
Darani, Narges Mahmoodi
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2023, 11 (01): : 183 - 196
[39] The Laguerre Collocation Method for Third Kind Integral Equations on Unbounded Domains
Ghoreishi, Farideh
Farahbakhsh-Tooli, Elena
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2016, 16 (02) : 245 - 256
[40] COMPLEX B-SPLINE COLLOCATION METHOD FOR SOLVING WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS OF THE SECOND KIND
Ramezani, M.
Jafari, H.
Johnston, S. J.
Baleanu, D.
MISKOLC MATHEMATICAL NOTES, 2015, 16 (02) : 1091 - 1103

← 1 2 3 4 5 →