In this paper, combined Laplace transform−Adomian decomposition
method (CLTADM)is presented to solve simplified Tumor-immune
system at two different values of the parameter of interaction between
tumor cells and effector cells ω. The system is presented to show the
ability of the method for non-linear systems of differential equations.
The results obtained are in good agreement with those obtained by the
Runge-Kutta fourth-fifth order method (ode45 solver in matlab) and
better than those obtained by Runge-Kutta second-third order method
(ode23 solver in matlab) in small interval beginning from the point at
which the initial values are considered.