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Homotopy Type Methods for Numerical Solution of Non Linear Riccati Equation

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Author Affiliations

  • 1Department of MathematicsIslamia College Peshawar University, PAKISTAN
  • 2 Department of Basics Sciences University of Engineering and Technology Peshawar PAKISTAN
  • 3 Department of MathematicsIslamia College Peshawar University PAKISTAN
  • 4 Department of MathematicsIslamia College Peshawar University PAKISTAN

Res. J. Recent Sci., Volume 4, Issue (1), Pages 73-80, January,2 (2015)

Abstract

In this paper, we apply various homotopy type methods for the approximate solution of nonlinear Riccati differential equations, such as Optimal Homotopy Asymptotic Method (OHAM), Homotopy Perturbation Method (HPM) andHomotopy Analysis Method (HAM). We also comparethe results of each of them with the exact solution of the given problem. Conclusions reveal that the method OHAM is more effective and the results obtained by this method are in good agreement with the exact solution.

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