Integration matrix based on arbitrary grids with a preconditioner for pseudospectral method

摘要

A matrix representation of integration for arbitrary grids is introduced. Suitable results are then obtained to be used along with differentiation matrix preconditioner to implement Pseudospectral method on integro-differential equations using arbitrary grids. Numerical examples are given to clarify the efficiency of the new method. (C) 2007 Elsevier B.V. All rights reserved.