Publications > Artigos em Revistas Internacionais

A nonpolynomial collocation method for fractional terminal value problems

N. J. Ford; Morgado, M. Luísa; Rebelo, Magda

Journal of Computational and Applied Mathematics, 275 (2015), 392-402
http://dx.doi.org/10.1016/j.cam.2014.07.029

In this paper an implicit scheme for the numerical approximation of the distributed order time-fractional reaction–diffusion equation with a nonlinear source term is presented. The stability and the convergence order of the numerical scheme are analysed and illustrated through some numerical examples.