A simple Taylor-series expansion method for a class of second kind integral equations
Ren,Yuhe; Zhang,Bo; Qiao, Hong
Source PublicationJournal of Computational and Applied Mathematics
1999-10
Volume110Issue:1Pages:15–24
AbstractA simple yet effective Taylor-series expansion method is presented for a class of Fredholm integral equations of the second kind with smooth and weakly singular kernels. The equations studied in this paper arise in a number of applications, e.g., potential theory, radiative equilibrium, radiative heat transfer, and electrostatics. The approach leads to an approximate solution of the integral equation which can be expressed explicitly in a simple, closed form. The approximate solution is of sufficient accuracy as illustrated by the numerical examples arising from radiative heat transfer and electrostatics.
KeywordTaylor-series Integral Equations
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/12601
Collection复杂系统管理与控制国家重点实验室_机器人理论与应用
Corresponding AuthorRen,Yuhe
AffiliationFujitsu Parallel Computing Research Centre, Imperial College
Recommended Citation
GB/T 7714
Ren,Yuhe,Zhang,Bo,Qiao, Hong. A simple Taylor-series expansion method for a class of second kind integral equations[J]. Journal of Computational and Applied Mathematics,1999,110(1):15–24.
APA Ren,Yuhe,Zhang,Bo,&Qiao, Hong.(1999).A simple Taylor-series expansion method for a class of second kind integral equations.Journal of Computational and Applied Mathematics,110(1),15–24.
MLA Ren,Yuhe,et al."A simple Taylor-series expansion method for a class of second kind integral equations".Journal of Computational and Applied Mathematics 110.1(1999):15–24.
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