A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations
نویسندگان
چکیده
A discrete method of accuracy O(hm) is constructed and justi ed for a class of Fredholm integral equations of the second kind with kernels that may have weak diagonal and boundary singularities. The method is based on improving the boundary behaviour of the kernel with the help of a change of variables, and on the product integration using quasi-interpolation by smooth splines of order m.
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ورودعنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 46 شماره
صفحات -
تاریخ انتشار 2008