Interpolation correction for collocation solutions of Fredholm integro-differential equations

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.

• Type: Journal
• Year: 1998
• Where: MOC
• Authors: Qiya Hu
• Keywords: Collocation Method, Collocation Solution, MOC 1998, Multiterm Error Expansion