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Original Articles

On the Solution of the Riccati Equation by the Decomposition Method

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Pages 103-109 | Published online: 15 Sep 2010

  • Adomian , G. 1994 . “Solving Frontier Problems of Physics: The Decomposition Method” . Boston : Kluler Academic Publishers .
  • Adomian , G. and Rach , R. 1992 . Noise Terms in Decomposition Solution, Series . Computers Math. Appl. , 24 (11} ) : 61 – 64 .
  • Adomian , G. 1988 . A Review of the Decomposition Method in Applied Mathematics . J. Math. Anal. Appl. , 135 : 501 – 544 .
  • Adomian , G. 1986 . “Nonlinear Stochastic Operator Equations” , San Diego, CA : Academic Press .
  • Sanugi , B. B. and Evans , D. J. 1990 . The Numerical Solution of Oscillatory Problems . Inter. J. Computer Math. , 31 : 237 – 255 .
  • Gautschi , W. 1961 . Numerical Integration of Ordinary Differential Equations Based on Trigonometric Polynomials . Num. Math. , 3 : 381 – 397 .
  • Adomian , G. and Malakan , K. 1980 . Operator Theoretic Solution of Nonlinear Stochastic . J. Math. Anal. Appl. , 76 : 183 – 201 .
  • Rafatov , R. , Ergüt , M. and Bektas , M. 1998 . “Laplace Dönüsümlerinin Esaslari, Diferensiyel ve Fork Denklemlerinin Cözümü” , Elazig : Firat Universités! .
  • Lambert , J. D. 1991 . Computational Methods for Ordinary Differential Systems , West Sussex : J. Wiley and Sons .
  • Bulut , H. and Inc , M. 2000 . A Two Step Method for the Numerýcal Integraýon of Stiff Differential Equatýons . Inter. J. Computer Math. , 73 (1-8} )
  • Inç , M. , Bildik , N. and Bulut , H. 1998 . A. Companion of Numerýcal O.D.E SolversBased on Euler Methods . Mathematical and Computational Applications , 3 (3} ) : 153 – 159 .
  • Bulut , H. and Turhan , Esin . 2000 . A New Approach to the Dissipative Wave Equations: An Application of the Decomposition . Institute of Math Computer Sciences , 13 (3} )
  • Bulut , H. and Ergüt , M. Decomposition Method for the Solution of the Nonlinear Stochastic Differential Equations . Institute of Math. Computer Sciences , (to appear}

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