Chebyshev spectral approximation of distributed order differential Equations

International Journal of Dynamical Systems and Differential Equations, 6(2) (2016), 117–128
https://doi.org/10.1504/IJDSDE.2016.077252

A Chebyshev collocation method is derived for the numerical approximation of distributed order differential equations in the Caputo sense. The numerical scheme is valid for both initial and boundary value problems. An error analysis is provided and illustrated through some numerical examples.