2016•International Journal of Dynamical Systems and Differential EquationsOpen access

Chebyshev spectral approximation of distributed order differential equations

M. Luísa Morgado

Abstract

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.

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Key concepts: Mathematics, Chebyshev polynomials, Chebyshev filter, Chebyshev iteration, Chebyshev nodes, Spectral method, Boundary value problem, Order (exchange)