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[Licence| Download | New Version Template] aene_v1_0.tar.gz(562 Kbytes)
Manuscript Title: Symbolic computation of analytic approximate solutions for nonlinear fractional differential equations
Authors: Yezhi Lin, Yinping Liu, Zhibin Li
Program title: ADMP
Catalogue identifier: AENE_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 184(2013)130
Programming language: MAPLE R15.
Computer: PCs.
Operating system: Windows XP/7.
RAM: 2 Gbytes
Keywords: Adomian decomposition method (ADM), Nonlinear fractional differential equations, Analytic approximate solutions, Initial value problems, Boundary value problems, Adomian polynomials, Non-smooth initial value problems.
Classification: 4.3.

Nature of problem:
Constructing analytic approximate solutions of nonlinear fractional differential equations with initial or boundary conditions. Non-smooth initial value problems can be solved by this program.

Solution method:
Based on the new definition of the Adomian polynomials [1], the Adomian decomposition method and the Padé approximants technique, a new algorithm is proposed to construct analytic approximate solutions for nonlinear fractional differential equations.

Restrictions:
The problem [2] with some robin boundary conditions can not be solved by this program.

Running time:
Seconds at most in routine uses of the program. Special tasks may take up to some minutes.

References:
[1] Rach, R., Kybernetes 37 (2008) 910.
[2] Hon, YC., Southeast Asian Bullitin of Mathematics 3 (1996) 55.