Title of article :
On a Modication of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
Author/Authors :
Jaleb, H Department of Mathematics - Central Tehran Branch - Islamic Azad University - Tehran, Iran , Adibi, H Department of Mathematics - Central Tehran Branch - Islamic Azad University - Tehran, Iran
Abstract :
Abstract. In this article a modication of the Chebyshev collocation method is applied to
the solution of space fractional differential equations.The fractional derivative is considered
in the Caputo sense.The nite difference scheme and Chebyshev collocation method are used
.The numerical results obtained by this way have been compared with other methods.The
results show the reliability and efficiency of the proposed method.
Keywords :
Finite difference , Fractional diffusion equation , Caputo derivative , Fractional Riccati differential equation , Collocation , Chebyshev polynomials
Journal title :
Astroparticle Physics
