Hybrid Functions for Nonlinear Differential Equations with Applications to Physical Problems

  • M. Razzaghi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8236)


A numerical method for solving nonlinear initial-value problems is proposed. The Lane-Emden type equations which have many applications in mathematical physics are then considered. The method is based upon hybrid function approximations. The properties of hybrid functions of block-pulse functions and Bernoulli polynomials are presented and are utilized to reduce the computation of nonlinear initial-value problems to a system of equations. The method is easy to implement and yields very accurate results.


Block-pulse functions Bernoulli polynomials hybrid nonlinear initial-value problems Lane-Emden equation 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • M. Razzaghi
    • 1
    • 2
  1. 1.Department of Mathematics and StatisticsMississippi State UniversityUSA
  2. 2.Department of Mathematics and Computer SciencesTechnical University of Civil EngineeringBucharestRomania

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