An Approximate Solution to The Newell-Whitehead Equation by Adomian Decomposition Method
Author(s) -
Saad A. Manaa
Publication year - 2011
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2011.163617
Subject(s) - adomian decomposition method , exact solutions in general relativity , mathematics , decomposition method (queueing theory) , decomposition , mathematical analysis , differential equation , discrete mathematics , chemistry , organic chemistry
In this paper, we solved the Newell-Whitehead equation approximately using Adomain Decomposition method and we have compared this solution with the exact solution; we found that the solution of this method is so close to the exact solution and this solution is slower to converge to the exact solution when we increase t however, this method is effective for this kind of problems.
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