A RATIONAL BASIS FOR 2ND-KIND ABEL INTEGRAL-EQUATIONS

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:34

Article

ABELMAN, S ; EYRE, D

关键词: INTEGRAL EQUATIONS;    RATIONAL BASIS;   

DOI  :  10.1016/0377-0427(91)90089-3

来源: Elsevier

【 摘 要 】

A rational basis set is constructed using [1, 1] rational interpolation. The basis is used in a product integration method for solving second-kind Abel integral equations. Criteria are established for determining the amount of bias to be used in the basis set when the integral equation has a nonsmooth solution. Several test problems are solved to illustrate the performance of the approximation method.

【 授权许可】

Free