Higher order pseudospectral differentiation matrices

Authors:
Elsayed M. E. Elbarbary;Salah M. El-Sayed
Affiliations:
Department of Mathematics, AlJouf Teachers College, AlJouf, Skaka, Saudi Arabia and Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Hiliopolis, Cairo, Egypt;Department of Mathematics, Education College for Girls, Al-Montazah, Buraydah, Al-Qassim, Saudi Arabia and Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
Venue:
Applied Numerical Mathematics
Year:
2005

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Abstract

A new explicit expression of the higher order pseudospectral differentiation matrices is presented by using an explicit formula for higher derivatives of Chebyshev polynomials. The roundoff errors incurred during computing differentiation matrices are investigated. The advantages of the suggested differentiation matrices emerged through comparisons with other ones.