Riccati Equation with Variable Co-efficient: Solution by Differential Transform Method

In this chapter Differential Transform Method (DTM) is implemented to solve some Riccati differential
equations with variable co-efficients. This technique doesn’t require any discretization, linearization or small
perturbations and therefore it reduces significantly the numerical computation. The results derived by this
method are compared with the numerical results by Runge Kutta 4 (RK4) method. Therefore, we can conclude
that a small number of arguments are sufficient to provide an accurate solution in practice using DTM.