Exponential finite difference methods for solving Newell–Whitehead–Segel equation
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DOI: 10.1007/s40065-020-00280-3
Abstract: This work presents two different finite difference methods to compute the numerical solutions for Newell–Whitehead–Segel partial differential equation, which are implicit exponential finite difference method and fully implicit exponential finite difference method. Implicit exponential methods… read more here.
Keywords: difference; difference methods; exponential finite; whitehead segel ... See more keywords
Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system
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DOI: 10.1080/14029251.2020.1819601
Abstract: Starting from the Lax pairs, the nonlocal symmetries of the coupled variable-coefficient Newell-Whitehead system are obtained. By introducing an appropriate auxiliary dependent variable, the nonlocal symmetries are localized to Lie point symmetries and the coupled… read more here.
Keywords: newell whitehead; system; coupled variable; coefficient newell ... See more keywords
Dynamical behavior of nonlinear wave solutions of the generalized Newell–Whitehead–Segel equation
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DOI: 10.1142/s012918312050059x
Abstract: Dynamical behavior of nonlinear wave solutions of the perturbed and unperturbed generalized Newell–Whitehead–Segel (GNWS) equation is studied via analytical and computational approaches for the fir... read more here.
Keywords: wave solutions; generalized newell; dynamical behavior; behavior nonlinear ... See more keywords
Asymptotic-sequentially solution style for the generalized Caputo time-fractional Newell–Whitehead–Segel system
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DOI: 10.1186/s13662-019-2021-8
Abstract: The Caputo fractional version of the generalized Newell–Whitehead–Segel model is considered. We introduced a numerical scheme to solve analytically the proposed application. We updated the style of the generalized Taylor series for a reliable treatment… read more here.
Keywords: style generalized; whitehead segel; caputo; time fractional ... See more keywords