Interpolation correction for collocation solutions of Fredholm integro-differential equations
نویسنده
چکیده
In this paper we discuss the collocation method for a large class of Fredholm linear integro-differential equations. It will be shown that, when a certain higher order interpolation operation is added to the collocation solution of this equation, the new approximations will, under suitable assumptions, admit a multiterm error expansion in even powers of the step-size h. Based on this expansion, ideal multilevel correction results of this collocation solution are obtained.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 67 شماره
صفحات -
تاریخ انتشار 1998