A simple Taylor-series expansion method for a class of second kind integral equations | |
Ren,Yuhe; Zhang,Bo; Qiao, Hong | |
刊名 | Journal of Computational and Applied Mathematics |
1999-10 | |
卷号 | 110期号:1页码:15–24 |
关键词 | Taylor-series Integral equations |
通讯作者 | Ren,Yuhe |
英文摘要 | A 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. |
内容类型 | 期刊论文 |
源URL | [http://ir.ia.ac.cn/handle/173211/12601] |
专题 | 自动化研究所_复杂系统管理与控制国家重点实验室_机器人应用与理论组 |
作者单位 | Fujitsu Parallel Computing Research Centre, Imperial College |
推荐引用方式 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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