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

被引：0
作者：
Gabbasov, N. S. [1 ]
Galimova, Z. Kh.
机构：
[1] Kazan Fed Univ, Naberezhnye Chelny Inst, Naberezhnye Chelny, Russia
来源：
DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 09期
关键词：
Integral Equation; Approximate Solution; Collocation Method; Linear Algebraic Equation; Special Version;
D O I：
10.1134/S001226611509013X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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：7
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