Abstract：
:The aim of this work is to present numerical treatments to a complex order fractional nonlinear one-dimensional problem of Burgers' equations. A new parameter σ t is presented in order to be consistent with the physical model problem. This parameter characterizes the existence of fractional structures in the equations. A relation between the parameter σ t and the time derivative complex order is derived. An unconditionally stable numerical scheme using a kind of weighted average nonstandard finite-difference discretization is presented. Stability analysis of this method is studied. Numerical simulations are given to confirm the reliability of the proposed method.
journal_name
J Adv Resjournal_title
Journal of advanced researchauthors
Sweilam NH,Al-Mekhlafi SM,Baleanu Ddoi
10.1016/j.jare.2020.04.007subject
Has Abstractpub_date
2020-05-15 00:00:00pages
19-29eissn
2090-1232issn
2090-1224pii
S2090-1232(20)30069-2journal_volume
25pub_type
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journal_title：Journal of advanced research
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journal_title：Journal of advanced research
pub_type： 杂志文章
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