|A simple Taylor-series expansion method for a class of second kind integral equations|
|Ren,Yuhe; Zhang,Bo; Qiao, Hong
|发表期刊||Journal of Computational and Applied Mathematics
|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.|
|作者单位||Fujitsu Parallel Computing Research Centre, Imperial College|
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.
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.
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.