Title: ADMP: A Maple Programming Language for Symbolic Computation to Nonlinear Quadratic Riccati Differential Equation


Volume 6 Issue 2 Year 2016

Authors:

Sumit Gupta

guptasumit05@gmail.com
Department of Mathematics, Swami Keshvanand Institute of Technology, Management & Gramothan Jaipur-302017, (INDIA),

Vijay Kumar Singhal

vijaysinghal01@gmail.com
Department of Mathematics, Swami Keshvanand Institute of Technology, Management & Gramothan Jaipur-302017, (INDIA)

Pages: 75-78


Abstract:

In this paper, we apply an analytical method called the Two Step – Adomian Decomposition Method joint with Padè – approximation (TSADM – Padè) for solving various nonlinear Riccati differential equations. The process for accurate analytic approximation of nonlinear differential equations along with
some boundary conditions, uses the new definition of Adomian polynomials. For this purpose a Maple package ADMP is used.

Keywords:
Two-Step Adomian-Decomposition Method (TSADM), Padè approximants, Nonlinear Riccati equation, Approximate solution, ADMP