SOLUTION OF RICCATI DIFFERENTIAL EQUATION WITH GREEN’S FUNCTION AND PADÈ APPROXIMATION TECHNIQUE
The objective of this article is to provide an approximate solution of Riccati differential equations (RDEs), using an iterative method based on Green’s function and Adomian decomposition method (ADM). This method presents accurate and reliable results with great perfection. Further, special attention is given to study the convergence analysis. Some numerical experiments are performed to show the validity and applicability of the proposed method. In addition, the comparison with some of the well-known methods such as ADM, LADM is also included.
Riccati differential equation, Adomian decomposition method, Green’s function, Padè approximation.