| Paper title: |
On Calculation of Adomian Polynomials by MATLAB |
| Published in: | Issue 2, (Vol. 5) / 2011 |
| 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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