Authors: M.L. Morgado
Addresses: Department of Mathematics, Universidade of Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados, 5000-801, Vila Real, Portugal
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.
Keywords: Caputo derivative; Chebyshev polynomials; collocation; distributed order differential equations; Chebyshev spectral approximation.
International Journal of Dynamical Systems and Differential Equations, 2016 Vol.6 No.2, pp.117 - 128
Received: 05 May 2015
Accepted: 31 Aug 2015
Published online: 21 Jun 2016 *