Approximate Solution of Nonlinear Time-Fractional Klein-Gordon Equations Using Yang Transform
[ X ]
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The algebras of the symmetry operators for the Klein-Gordon equation are important for a charged test particle, moving in an external electromagnetic field in a space time manifold on the isotropic hydrosulphate. In this paper, we develop an analytical and numerical approach for providing the solution to a class of linear and nonlinear fractional Klein-Gordon equations arising in classical relativistic and quantum mechanics. We study the Yang homotopy perturbation transform method (YHPTM),which is associated with the Yang transform (YT) and the homotopy perturbation method (HPM), where the fractional derivative is taken in a Caputo-Fabrizio (CF) sense. This technique provides the solution very accurately and efficiently in the form of a series with easily computable coefficients. The behavior of the approximate series solution for different fractional-order p values has been shown graphically. Our numerical investigations indicate that YHPTM is a simple and powerful mathematical tool to deal with the complexity of such problems.
Açıklama
Anahtar Kelimeler
fractional Klein-Gordon equation, Yang transform, homotopy perturbation method, series solution
Kaynak
Symmetry-Basel
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
14
Sayı
5
