A novel hybrid approach to approximate fractional sub-diffusion equation

This article introduces a new numerical hybrid approach based on an operational matrix and spectral technique tosolve Caputo fractional sub-diffusion equations. This method transforms the model into a set of nonlinear algebraicequation systems. Chebyshev polynomials are used as basis functions. The study includes theoretical analysisto demonstrate the convergence and error bounds of the proposed method. Two test problems are conducted toillustrate the method’s accuracy. The results indicate the efficiency of the proposed method.

Keywords:

Fractional sub-diffusion equation , Operational matrix , Spectral collocation method