Browsing Faculty Of Engineering Research Paper by Author "Van Gorder, Robert A."

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A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval

Doha, E. H.; Bhrawy, A. H.; Hafez, R. M.; Van Gorder, Robert A. (SPRINGER HEIDELBERG, 2014)

We derive an operational matrix representation for the differentiation of Jacobi rational functions, which is used to create a new Jacobi rational pseudo spectral method based on the operational matrix of Jacobi rational ...
Jacobi rational-Gauss collocation method for Lane-Emden equations of astrophysical significance

Doha, Eid H.; Bhrawy, Ali H.; Hafez, Ramy M.; Van Gorder, Robert A. (INST MATHEMATICS & INFORMATICS, 2014)

In this paper, a new spectral collocation method is applied to solve Lane-Emden equations on a semi-infinite domain. The method allows us to overcome difficulty in both the nonlinearity and the singularity inherent in such ...
A new Jacobi spectral collocation method for solving 1+1 fractional Schrodinger equations and fractional coupled Schrodinger systems

Bhrawy, A. H.; Doha, E. H.; Ezz-Eldien, S. S.; Van Gorder, Robert A. (SPRINGER HEIDELBERG, 2014)

The Jacobi spectral collocation method (JSCM) is constructed and used in combination with the operational matrix of fractional derivatives (described in the Caputo sense) for the numerical solution of the time-fractional ...

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