Geodesic
Approximate solutions of the Swift--Hohenberg equation with dispersion
Eurasian mathematical journal, Tome 14 (2023) no. 1, pp. 71-80

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In this paper, the initial and boundary value problems for the Swift–Hohenberg equation as over the finite spatial interval $x\in [0,l]$ and finite time interval $t\in[0, t^*]$ are considered. Approximate solutions for the initial and boundary value problems are obtained via the differential transform method and reduced differential transform method. Finally, several numerical examples are presented in order to demonstrate the effectivity of the methods and clarify the influence of the parameters on the solution. 
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     author = {H. Rouhparvar},
     title = {Approximate solutions of the {Swift--Hohenberg} equation with dispersion},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2023_14_1_a5/}
}
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H. Rouhparvar. Approximate solutions of the Swift--Hohenberg equation with dispersion. Eurasian mathematical journal, Tome 14 (2023) no. 1, pp. 71-80. http://geodesic.mathdoc.fr/item/EMJ_2023_14_1_a5/