Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

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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_0Distribution 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. |

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