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CHU Hong-mei, LIU Ying, LIU Yin-ping. Automated derivation for analytical approximate solutions to nonlinear differential equations[J]. Journal of East China Normal University (Natural Sciences), 2010, (6): 125-136.
Citation:
CHU Hong-mei, LIU Ying, LIU Yin-ping. Automated derivation for analytical approximate solutions to nonlinear differential equations[J]. Journal of East China Normal University (Natural Sciences), 2010, (6): 125-136.
CHU Hong-mei, LIU Ying, LIU Yin-ping. Automated derivation for analytical approximate solutions to nonlinear differential equations[J]. Journal of East China Normal University (Natural Sciences), 2010, (6): 125-136.
Citation:
CHU Hong-mei, LIU Ying, LIU Yin-ping. Automated derivation for analytical approximate solutions to nonlinear differential equations[J]. Journal of East China Normal University (Natural Sciences), 2010, (6): 125-136.
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.