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

Authors:
F. Ghoreishi;S. Mohammad Hosseini
Affiliations:
Department of Mathematics, K. N. Toosi University, P.O. Box 16315-1618, Tehran, Iran;Department of Mathematics, Tarbiat Modarres University, P.O. Box 14115-175, Tehran, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 4
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Abstract

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.