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Browsing Faculty Of Engineering Research Paper by Subject "Jacobi polynomials"

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An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems

Doha, Eid H.; Bhrawy, Ali H.; Baleanu, Dumitru; Ezz-Eldien, Samer S.; Hafez, Ramy M. (SPRINGEROPEN, 2015)

In this article, we introduce a numerical technique for solving a general form of the fractional optimal control problem. Fractional derivatives are described in the Caputo sense. Using the properties of the shifted Jacobi ...
A Jacobi Gauss-Lobatto and Gauss-Radau collocation algorithm for solving fractional Fokker-Planck equations

Hafez, Ramy M.; Ezz-Eldien, Samer S.; Bhrawy, Ali H.; Ahmed, Engy A.; Baleanu, Dumitru (SPRINGER, 2015)

In this article, we construct a new numerical approach for solving the time-fractional Fokker-Planck equation. The shifted Jacobi polynomials are used as basis functions, and the fractional derivative is described in the ...
A new Jacobi operational matrix: An application for solving fractional differential equations

E. H., Doha; A. H., Bhrawy; S. S., Ezz-Eldien (ELSEVIER SCIENCE INC, 2012)

In this paper, we derived the shifted Jacobi operational matrix (JOM) of fractional derivatives which is applied together with spectral tau method for numerical solution of general linear multi-term fractional differential ...
Numerical solution of linear and nonlinear hyperbolic telegraph type equations with variable coefficients using shifted Jacobi collocation method

Hafez, Ramy M. (SPRINGER HEIDELBERG, 2018)

The telegraph equation is one of the important equations of mathematical physics. In this work, a spectral collocation scheme is proposed for the numerical solutions of one- and two-dimensional linear telegraph equations ...

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Browsing Faculty Of Engineering Research Paper by Subject "Jacobi polynomials"

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