Solving Robin problems in multiply connected regions via an integral equation with the generalized Neumann kernel

被引：1
|
作者：
Al-Shatri, Shwan H. H. [1 ]
Murid, Ali H. M. [1 ,2 ]
Ismail, Munira [1 ]
Muminov, Mukhiddin I. [1 ]
机构：
[1] Univ Teknol Malaysia, Dept Math Sci, Fac Sci, Johor Baharu 81310, Johor, Malaysia
[2] Univ Teknol Malaysia, UTM Ctr Ind & Appl Math UTM CIAM, Ibnu Sina Inst Sci & Ind Res, Johor Baharu 81310, Johor, Malaysia
来源：
BOUNDARY VALUE PROBLEMS | 2016年
关键词：
Robin problem; Riemann-Hilbert problem; integral equation; generalized Neumann kernel; multiply connected region; RIEMANN-HILBERT PROBLEM; BOUNDARY;
D O I：
10.1186/s13661-016-0599-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a boundary integral equation method for finding the solution of Robin problems in bounded and unbounded multiply connected regions. The Robin problems are formulated as Riemann-Hilbert problems which lead to systems of integral equations and the related differential equations are also constructed that give rise to unique solutions, which are shown. Numerical results on several test regions are presented to illustrate that the approximate solution when using this method for the Robin problems when the boundaries are sufficiently smooth are accurate.
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页数：23
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