Paper title: |
On Calculation of Adomian Polynomials by MATLAB |

Published in: |
Issue 2, (Vol. 5) / 2011Download |

Publishing date: |
2011-10-28 |

Pages: |
85-88 |

Author(s): |
FATOOREHCHI Hooman, ABOLGHASEMI Hossein |

Abstract. |
Adomian Decomposition Method (ADM) is an elegant technique to handle an extensive class of linear or nonlinear differential and integral equations. However, in case of nonlinear equations, ADM demands a special representation of each nonlinear term, namely, Adomian polynomials. The present paper introduces a novel MATLAB code which computes Adomian polynomials associated with several types of nonlinearities. The code exploits symbolic programming incorporated with a recently proposed alternative scheme to be straightforward and fast. For the sake of exemplification, Adomian polynomials of famous nonlinear operators, computed by the code, are given. |

Keywords: |
Adomian Decomposition, Adomian Polynomials, MATLAB, Nonlinear Functionals, Differential Equations |

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