Numerical algorithms considering a dimensional correction parameter on the fractional order diffusion equation

Resumo

We deal with a generalization for the constant coefficient onedimensional fractional diffusion equation by inserting the dimensional correction parameter 𝜏 in the model, as proposed in (GÓMEZ-AGUILAR et al., 2012). The fractional time variation is simulated by the Riemann-Liouville, Caputo-Fabrizio and Katugampola derivatives in order to compare each of these operators behavior. Numerical results drawn for the dimensionalized fractional diffusion equation are also compared with those obtained for the same equations when the dimension constraint was not taken into account.