Polynomial Spline Approach for Double Integrals with Algebraic Singularity

被引：1

作者：

Eshkuvatov, Z. K. ^{[1
,2
]}

Long, N. M. A. Nik ^{[1
,2
]}

Midi, Habshah ^{[1
,2
]}

Khaldjigitov, Abduvali ^{[3
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Fac Sci, Serdang 43400, Malaysia

[2] Univ Putra Malaysia, Inst Mat Res, Serdang 43400, Malaysia

[3] Tashkent Univ Informat Technol, Tashkent, Uzbekistan

来源：

INTERNATIONAL CONFERENCE ON ADVANCEMENT IN SCIENCE AND TECHNOLOGY 2012 (ICAST): CONTEMPORARY MATHEMATICS, MATHEMATICAL PHYSICS AND THEIR APPLICATIONS | 2013年 / 435卷

关键词：

QUADRATURE-FORMULAS;

D O I：

10.1088/1742-6596/435/1/012009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, cubature formulas are constructed to evaluate the double integrals on the rectangle with algebraic singularity by replacing the density function f (x, y) with the S-Delta (P) modified spline function interpolation of type (0,2). Rate of convergence are obtained in the classes of function f (x, y) is an element of C-2,C-alpha (D).

引用

页数：7

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