Journal of East China Normal University(Natural Sc ›› 2010, Vol. 2010 ›› Issue (6): 125-136.

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Automated derivation for analytical approximate solutions to nonlinear differential equations

CHU Hong-mei 1, LIU Ying 2, LIU Yin-ping 1

  

  1. 1. Department of Computer Science and Technology, East China Normal University, Shanghai 200241, China; 2. Department of Culture, Secondary Specialized Music School Affiliated Shanghai Music Institute, Shanghai 200031, China
  • Received:2010-01-01 Revised:2010-04-01 Online:2010-11-25 Published:2010-11-25
  • Contact: LIU Yin-ping

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Abstract: Based on four kinds of Adomian polynomials algorithms proposed by R. C. Rach, a package NAPA was developed on Maple 12. The interface of NAPA is user-friendly. As long as one input a differential system with boundary or initial conditions, NAPA can entirely automatically output more accurate approximating solutions. Finally, two different type of examples were given to demonstrate the effectiveness of the package.

Key words: Adomian decomposition method(ADM), Adomian polynomials, Adomian-Pade approximants, symbolic computation, Adomian decomposition method(ADM), Adomian polynomials, Adomian-Pade approximants

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