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Review on the Pseudo-Spectral Method and their Associated Differentiation and Integration Matrices of Both Integer and Fractional Order |
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PP: 263-278 |
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doi:10.18576/pfda/110204
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Author(s) |
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Somaya Mahmoud,
M. El-Kady,
M. Abdelhakem,
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Abstract |
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| This review concerns one of the spectral methods, which is the pseudo-spectral method. The pseudo-spectral method can be considered adequate for solving several types of IBVP of integer and fractional order. This method expresses the unknown variable of the differential equation in terms of the unknown variables at the chosen collocation points. Two traditional numerical integration techniques and the Gauss-Lobatto Quadrature method have been used for that purpose. In addition, several differentiation and integration matrices constructed using the pseudo-spectral method for some orthogonal polynomials have been presented.
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