Extrapolation of Discrete Multi-projection Methods for Fredholm Integral Equations of the Second Kind

摘要

In this paper, we analyze the asymptotic error expansion for the approximation solution obtained by iterated discrete multi-projection methods for Fredhlom integral equations of the second kind. We show that under some smoothness conditions the approximation solution admits an error expansion in even powers of h beginning with term h^4r to term h^7r. Under these expansion, the order of convergence can be increased by two further powers of h by Richardson extrapolation.