Ford, Neville J.Morgado, Maria L.Rebelo, Magda S.2016-01-202016-01-202015-06-10Ford, N. J., Morgado, M. L., & Rebelo, M. S. (2015). An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Electronic Transactions on Numerical Analysis, 44, 289-305.1068–9613http://hdl.handle.net/10034/594433In this paper we are concerned with the numerical solution of a diffusion equation in which the time order derivative is distributed over the interval [0,1]. An implicit numerical method is presented and its unconditional stability and convergence are proved. A numerical example is provided to illustrate the obtained theoretical results.enCaputo derivativeFractional differential equationsubdiffusionFinite difference methodDistributed order differential equationsArticleElectronic Transactions on Numerical Analysis