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Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation |
Numerical solution of multiterm variable order fractional differential equations via shifted Legendre polynomials. |
A novel Jacobi operational matrix for numerical solution of multi-term variable-order fractional differential equations. |
Vieta–Lucas polynomials for solving a fractional-order mathematical physics model. |
Vieta-Fibonacci operational matrices for spectral solutions of variable-order fractional integro-differential equations. |
Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique. |
A novel operational matrix for the numerical solution of nonlinear Lane–Emden system of fractional order. |
A Numerical solution of the fractional-order logistic equation via the first-kind Dickson polynomials and spectral tau method. |
Mohamed A. Ramadan and Adel A. El-Sayed,
On the computation of matrix functions
for square matrices having mixed eigenvalues using numerical hybrid method,
International Journal of Nonlinear Science (IJNS), 1749-3897 (online).
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Mohamed A. Ramadan and Adel A. El-Sayed,
Matrix Functions Approximation
For Square Matrices Using Newton’s Interpolation, J. Math. Comput. Sci. 3 (2013),
No. 1, 38-56. |
Mohamed A. Ramadan and Adel A. El-Sayed,
Computing Matrix Function for
some Matrices Using Sylvester’s method , International Conference of Mathematics,
Egypt, Dec 2012.
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N.H. Sweilam, A.M. Nagy and Adel A. El-Sayed,
Second kind shifted Chebyshev
polynomials for solving space fractional order diffusion equation, Chaos, Solitons &
Fractals.73 (2015), 141-147 |
N.H. Sweilam, A.M. Nagy and Adel A. El-Sayed,
On the numerical solution of
space fractional order diffusion equation via shifted Chebyshev polynomials of the
third kind, Journal of King Saud University - Science(JKSUS 316), (2015). |
N.H. Sweilam, A.M. Nagy and Adel A. El-Sayed,
Numerical approach for solving
space fractional order diffusion equation using shifted Chebyshev polynomials of the
fourth kind, Turkish Journal of Mathematics. DOI: 10.3906/mat-1503-20. |
N.H. Sweilam, A.M. Nagy and Adel A. El-Sayed, Solving time-fractional order telegraph
equation via Sinc-Legendre collocation method, Mediterr. J. Math.13 (2016),
5119-5133. |
N.H. Sweilam, A.M. Nagy and Adel A. El-Sayed,
Sinc-Chebyshev collocation
method for time-fractional order telegraph equation, Sumitted. |
N.H. Sweilam, A.M. Nagy and Adel A. El-Sayed,
An accurate numerical technique
for solving two-dimensional time fractional order diffusion equation, Sumitted.
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N.H. Sweilam, A.M. Nagy and Adel A. El-Sayed,
Third kind shifted Chebyshev
operational matrix for solving fractional order differential equations, Sumitted. |
N.H. Sweilam, A.M. Nagy and Adel A. El-Sayed,
New operational matrix of
Chebyshev fourth kind for solving multi-term variable order fractional differential equations,
Sumitted. |