International Science Community Association Research Journal of Recent Sciences 2277 - 2502 4 1 2015 January 2 Homotopy Type Methods for Numerical Solution of Non Linear Riccati Equation 73 80 EN Mehdi Yousefi 1 Department of Biology, Payam Noor University, Tehran, IRAN Sanaz Toranj 2 SeyedEmad Hosseini 1 ³ Deputy Director of Research, Institute for International Energy Studies (IIES), IRAN Abbasi² Farshad 2 Department of Engineering, Islamic Azad University, Marivan Branch, IRAN AhmadFarmahini Farahani 3 Director of Research, Institute for International Energy Studies (IIES), TEHRAN, IRAN Alidade Bahareh 1 Department of Industrial Engineering, Zahedan Branch, Islamic Azad University, Zahedan, IRAN Mohammad Ghasemi 2 Assistant professor, Department of Agricultural Economics, University of Zabol, Zabol, IRAN Rafiezadeh Mojtaba 1 Department of Management, Rasht Branch, Islamic Azad University, Rasht, Iran Badri Abassi 2 Mehrdad Godarzv 3 Chegini 4 Alinezhad Amin 1 Department of Studies in Linguistics, University of Mysore, INDIA Alipour Mohammad 1 Department of English, Khorasgan Branch, Islamic Azad University (IAU), Isfahan, IRAN Reza HaghverdiHamid 2 Biria Reza 3 ForoughiAbari1 Afsaneh 1 Department of English, Khorasgan Branch, Islamic Azad University, Isfahan, IRAN AhmadReza Lotfi 2 MuhammadIrfan Khattak 1 University of Engineering and Technology Peshawar, PAKISTAN J. Ma 2 School of Electronic, Electrical and Systems Engineering, Loughborough University, UK Shafi Muhammad 3 Faculty of Computer Science and Engineering, GIKI Topi, PAKISTAN Mohammad Saleem 4 Garde A.S. 1 Bire Sarang 1 School of Mechanical and Building Sciences, VIT University, Vellore, Tamilnadu 623014, INDIA Thube Yogesh 2 Arefeh Mohaghegh 1 Department of Accounting, Semnan branch, Islamic Azad University, Semnan, IRAN Naeem M 1 Department of MathematicsIslamia College Peshawar University, PAKISTAN Badshah N 2 Department of Basics Sciences University of Engineering and Technology Peshawar PAKISTAN Shah IA 3 Department of MathematicsIslamia College Peshawar University PAKISTAN Atta H 4 Department of MathematicsIslamia College Peshawar University PAKISTAN > Research Paper 2013 12 4 2015 January 2 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. Copyright@ International Science Community Association