Article citationsMore>>

Tan, Y. and Abbasbandy, S. (2013) Homotopy Analysis Method for Quadratic Riccati Differential Equation. Communications in Nonlinear Science and Numerical Simulation, 1, 539-546.

has been cited by the following article:

• TITLE: Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems

  AUTHORS: Bothayna S. Kashkari, Sharefah Saleh

  KEYWORDS: Riccati Equation, Homotopy Perturbation Method, Variational Iteration Method, Variational Homotopy Perturbation Method

  JOURNAL NAME: Applied Mathematics, Vol.8 No.7, July 4, 2017

  ABSTRACT: In this paper, a Variational homotopy perturbation method is proposed to solve nonlinear Riccati differential equation. By combining the Variational Iteration Method and the Homotopy Perturbation Method, this technique possesses a fast convergence rate with high accuracy. The results reveal that the proposed method is very effective and simple.