In this paper, the discrete Adomian decomposition method (DADM) is applied to a fully implicit scheme of the generalized Burger’s–Huxley equation. The numerical results of two test problems are compared with the exact solutions. The comparisons reveal that the proposed method is very accurate and effective for this kind of problems.
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%0 Journal Article
%1 alrozbayani2013discrete
%A Al-Rozbayani, Abdulghafor M.
%A Al-Amr, Mohammed O.
%D 2013
%J International Journal of Contemporary Mathematical Sciences
%K Adomian Burger’s–Huxley Discrete Finite Generalized decomposition difference equation method scheme
%N 13
%P 623-631
%T Discrete Adomian Decomposition Method for Solving Burgerʼs−Huxley Equation
%U http://www.m-hikari.com/ijcms/ijcms-2013/13-16-2013/alamrIJCMS13-16-2013.pdf
%V 8
%X In this paper, the discrete Adomian decomposition method (DADM) is applied to a fully implicit scheme of the generalized Burger’s–Huxley equation. The numerical results of two test problems are compared with the exact solutions. The comparisons reveal that the proposed method is very accurate and effective for this kind of problems.
@article{alrozbayani2013discrete,
abstract = {In this paper, the discrete Adomian decomposition method (DADM) is applied to a fully implicit scheme of the generalized Burger’s–Huxley equation. The numerical results of two test problems are compared with the exact solutions. The comparisons reveal that the proposed method is very accurate and effective for this kind of problems.},
added-at = {2014-03-06T14:17:28.000+0100},
author = {Al-Rozbayani, Abdulghafor M. and Al-Amr, Mohammed O.},
biburl = {https://www.bibsonomy.org/bibtex/20376313225a503af12c3f1dd2a95f130/mohammedalamr},
interhash = {bc757947c958e0d7b83a4b942e8f1535},
intrahash = {0376313225a503af12c3f1dd2a95f130},
journal = {International Journal of Contemporary Mathematical Sciences},
keywords = {Adomian Burger’s–Huxley Discrete Finite Generalized decomposition difference equation method scheme},
month = sep,
number = 13,
pages = {623-631},
timestamp = {2014-03-06T14:17:28.000+0100},
title = {Discrete Adomian Decomposition Method for Solving Burgerʼs−Huxley Equation},
url = {http://www.m-hikari.com/ijcms/ijcms-2013/13-16-2013/alamrIJCMS13-16-2013.pdf},
volume = 8,
year = 2013
}