%0 Journal Article
%T Operational Tau method for nonlinear multi-order FDEs
%J Iranian Journal of Numerical Analysis and Optimization
%I Ferdowsi University of Mashhad
%Z 2423-6977
%A Mokhtary, P.
%D 2014
%\ 11/01/2014
%V 4
%N 2
%P 43-55
%! Operational Tau method for nonlinear multi-order FDEs
%K Fractional differential equations(FDEs)
%K Caputo derivative
%K Operational Tau method
%R 10.22067/ijnao.v4i2.33577
%X This paper presents an operational formulation of the Tau method based upon orthogonal polynomials by using a reduced set of matrix operations for the numerical solution of nonlinear multi-order fractional differential equations(FDEs). The main characteristic behind the approach using this technique is that it reduces such problems to those of solving a system of non-linear algebraic equations. Some numerical examples are provided to demonstrate the validity and applicability of the method.
%U https://ijnao.um.ac.ir/article_24434_e94aaa028fd400b6f520cdb773ae202e.pdf