A Comparative Study of Numerical Methods for Solving the Riccati Equation
نویسندگان
چکیده
In this paper, a Laplace transform decomposition algorithm (LTDA) is proposed to solve the Riccati equation. Comparisons are made among the homotopy perturbation method (HPM), the Adomian decomposition method (ADM) and the proposed method. It is shown that the homotopy perturbation method with a specific convex homotopy is equivalent to the Adomian decomposition method and the Laplace transform decomposition algorithm for solving the Riccati equation.
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