APPROXIMATE ANALYTICAL SOLUTION FOR QUADRATIC RICCATI DIFFERENTIAL EQUATION

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AMINIKHAH H.

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2013 | Volume:3 | Issue:2 Page(s): 21-31

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Title

APPROXIMATE ANALYTICAL SOLUTION FOR QUADRATIC RICCATI DIFFERENTIAL EQUATION

Author(s)

AMINIKHAH H. | Issue Writer Certificate

Keywords

RICCATI DIFFERENTIAL EQUATION

LAPLACE TRANSFORM METHOD

NHPM

LTNHPM

Abstract

In this paper, we introduce an efficient method for solving the quadratic RICCATI DIFFERENTIAL EQUATION. In this technique, combination of Laplace trans-form and new homotopy perturbation methods (LTNHPM) are considered as an algorithm to the exact solution of the nonlinear Riccati equation. Un-like 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 efficiency of the proposed method.

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APA: Copy

AMINIKHAH, H.. (2013). APPROXIMATE ANALYTICAL SOLUTION FOR QUADRATIC RICCATI DIFFERENTIAL EQUATION. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 3(2), 21-31. SID. https://sid.ir/paper/645771/en

Vancouver: Copy

AMINIKHAH H.. APPROXIMATE ANALYTICAL SOLUTION FOR QUADRATIC RICCATI DIFFERENTIAL EQUATION. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2013;3(2):21-31. Available from: https://sid.ir/paper/645771/en

IEEE: Copy

H. AMINIKHAH, “APPROXIMATE ANALYTICAL SOLUTION FOR QUADRATIC RICCATI DIFFERENTIAL EQUATION,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 3, no. 2, pp. 21–31, 2013, [Online]. Available: https://sid.ir/paper/645771/en

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