Author(s)

Bothayna S. Kashkari, Sharefah Saleh

Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia.

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.

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

Kashkari, B. and Saleh, S. (2017) Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems. Applied Mathematics, 8, 893-900. doi: 10.4236/am.2017.87070.