Approximate Analytical Solution for Quadratic Riccati Differential Equation

Document Type : Research Article

Author

• H. Aminikhah

Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran.

10.22067/ijnao.v3i2.24074

Abstract

In this paper, we introduce an efficient method for solving the quadratic Riccati differential equation. In this technique, combination of Laplace transform and new homotopy perturbation methods (LTNHPM) are considered as an algorithm to the exact solution of the nonlinear Riccati equation. Unlike the previous approach for this problem, so-called NHPM, the present method, does not need the initial approximation to be defined as a power series. Four examples in different cases are given to demonstrate simplicity and effciency of the proposed method.

Keywords

• Riccati differential equation
• Laplace transform method
• NHPM
• LTNHPM

20.1001.1.24236977.2013.3.2.3.6

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