Preface


This secton provides a stream of examples demonstating applications of power series method for solving initial value problems for second order differential equations.

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Series solutions near ordinary point


 

  1. Dettman, J.W., Power Series Solutions of Ordinary Differential Equations, The American Mathematical Monthly, 1967, Vol. 74, No. 3, pp. 428--430.
  2. Grigorieva, E., Methods of Solving Sequence and Series Problems, Birkhäuser; 1st ed. 2016.
  3. Motsa, S.S., and Sibanda, P., Anew algorithm for solving singular IVPs ofLane-Emden type, Latest Trends on Applied Mathematics, Simulation Modeling, 2010,
  4. Yiğider, M., Tabatabaei, K., and Çelik, E., The Numerical Method for Solving Differential Equations of Lane-Emden Type by Padé Approximation, Discrete Dynamics in Nature and Society, Volume 2011, Article ID 479396, 9 pages http://dx.doi.org/10.1155/2011/479396

 

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