M. Salah El-din

Orthogonal Polynomial Approximations for Solving Odes: Fractional Pseudospectral Shifted Chebyshev Differentiation Matrices (Fpc) M. Salah El-din

This work includes a brief summary on differential equations which treated by the numerical solutions ,also it shows the classification of the ordinary differential equations with either integer or fractional order. It introduces powerful idea which is fractional differentiation matrix for solving the ordinary fractional differential equations. Beside, it introduces some numerical examples to confirm the accuracy and also the solution of initial and boundary value problems of fractional differential equations.