Modification of the Hpm by Using Optimal Newton Interpolation Polynomial for Quadratic Riccati Differential Equation


Authors

F. Ghomanjani - Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran. F. Divandar - Department of Control, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.


Abstract

In this work, an efficient modification of the homotopy analysis method by using optimal Newton interpolation polynomials is given for the approximate solutions of the Riccati differential equations. This presented method can be applied to linear and nonlinear models. Examples show that the method is effective.


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