Pseudospectral integration matrix and boundary value problems

Authors:
Elsayed M. E. Elbarbary
Affiliations:
Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
Venue:
International Journal of Computer Mathematics
Year:
2007

Citing 3
Cited 4

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Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices

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Abstract

This paper presents a new spectral successive integration matrix. This matrix is used to construct a Chebyshev expansion method for the solution of boundary value problems. The method employs the pseudospectral approximation of the highest-order derivative to generate an approximation to the lower-order derivatives. Application to the linear stability problem for plane Poiseuille flow is presented. The present numerical results are in satisfactory agreement with the exact solutions.