A Computational Scheme for the Numerical Results of Time-Fractional Degasperis-Procesi and Camassa-Holm Models
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This article presents an idea of a new approach for the solitary wave solution of the modified Degasperis-Procesi (mDP) and modified Camassa-Holm (mCH) models with a time-fractional derivative. We combine Laplace transform (LT) and homotopy perturbation method (HPM) to formulate the idea of the Laplace transform homotopy perturbation method (LHPTM). This study is considered under the Caputo sense. This proposed strategy does not depend on any assumption and restriction of variables, such as in the classical perturbation method. Some numerical examples are demonstrated and their results are compared graphically in 2D and 3D distribution. This approach presents the iterations in the form of a series solutions. We also compute the absolute error to show the effective performance of this proposed scheme.
Açıklama
Anahtar Kelimeler
Laplace transform, homotopy perturbation method, mDP and mCH models, series solution
Kaynak
Symmetry-Basel
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
14
Sayı
12
