Modified Homotopy Perturbation Method for Solving Hypersingular Integral Equations of the Second Kind

被引：1
|
作者：
Zulkarnain, F. S. [1 ]
Eshkuvatov, Z. K. [2 ]
Long, N. M. A. Nik [1 ,3 ]
Ismail, F. [1 ]
机构：
[1] Univ Putra Malaysia, Dept Math, Fac Sci, Upm Serdang 43400, Selangor, Malaysia
[2] USIM, Fac Sci & Technol, Negeri Sembilan, Malaysia
[3] Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia
来源：
INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS (ICMSS2016) | 2016年 / 1739卷
关键词：
APPROXIMATE SOLUTION; DIFFERENTIAL-EQUATIONS; SCATTERING;
D O I：
10.1063/1.4952507
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Modified homotopy perturbation method (HPM) is used to solve the hypersingular integral equations (HSIEs) of the second kind on the interval [-1, 1] with the assumption that the kernel in the form K(x, t)(x - t) - c(0) where K(x; t) is a constant on the diagonal of the domain. This method introduced selective functions as Chebyshev polynomials of second kind and unknown parameters that leads to two step iterations and gives exact solution. Example are presented to prove the efficiency and realiability of the method.
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页数：6
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