Morgado, Maria L.Rebelo, Magda S.Ferras, Luis L.Ford, Neville J.2016-11-042016-11-042016-11-09Morgado, M. L., Rebelo, M. S., Ferras, L. L., & Ford, N. J. (2017). Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method. Applied Numerical Mathematics, 114, 108-123. DOI: 10.1016/j.apnum.2016.11.00110.1016/j.apnum.2016.11.001http://hdl.handle.net/10034/620241In this work we present a new numerical method for the solution of the distributed order time fractional diffusion equation. The method is based on the approximation of the solution by a double Chebyshev truncated series, and the subsequent collocation of the resulting discretised system of equations at suitable collocation points. An error analysis is provided and a comparison with other methods used in the solution of this type of equation is also performed.enhttp://creativecommons.org/licenses/by-nc-nd/4.0/Distributed order differential equationsFractional differential equationsChebyshev methodArticle1873-5460Applied Numerical Mathematics