Analytic solution of Murray equation by means of Adomian decomposition method

In this paper the analytical solution for Murray equation is discussed based on the Adomian decomposition method. A closed form solution for the convergent power series is provided. The obtained analytical solution of Murray equation is investigated numerical for some numerical values of the parameters. The results illustrated graphically depict the pertinent features of Murray equation. The results reported here provide further evidence of the usefulness of using Adomian decomposition method (ADM) to treat the nonlinear equation specially for biological and physical problems with realistic assumptions in which it is necessary to avoid the linearization.