An Efficient Maple Program for Calculating Adomian Polynomials ()
ABSTRACT
The
immense quest for proficient numerical schemes for the solution of mathematical
models featuring nonlinear differential equations led to the realization of the
Adomian decomposition method (ADM) in the 80th. Undoubtedly, the
solution of nonlinear differential equations using ADM is presided over by the
acquisition of Adomian polynomials, which are not always easy to find. Thus,
the present study proposes easy-to-implement Maple programs for the computation of Adomian polynomials. In fact,
the proposed algorithms performed remarkably on several test functions,
consisting of one- and multi-variable nonlinearities. Moreover, the introduced
programs are advantageous in terms of simplicity; coupled with the requirement
of less computational time in comparison with what is known in the literature.
Share and Cite:
Al-Mazmumy, M. (2023) An Efficient
Maple Program for Calculating Adomian Polynomials.
American Journal of Computational Mathematics,
13, 512-523. doi:
10.4236/ajcm.2023.134028.
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