Approximate Analytical Solution for Quadratic Riccati Di erential Equation
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAO-3-2_003
تاریخ نمایه سازی: 6 شهریور 1396
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.
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Authors
h Aminikhah
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box ۱۹۱۴, Rasht, Iran.