The Numerical Solution of Fractional Diffusion Equation by Using Local Polynomial Regression
Çağlar, Süleyman Hikmet
Çağlar, Hatice Nazan
MetadataTüm öğe kaydını göster
In this paper, we apply the local polynomial regression for the solution of the one-dimensional fractional diffusion equation. The Caputo fractional derivative is used for the formulation. A numerical example is given to show the application of the present method. The effect of the fractional order (a) of the equation is illustrated by changing a from 1.01 to 1.99.