Discussion of numerical and analytical techniques for the emerging fractional order murnaghan model in materials science
Yükleniyor...
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
The Murnaghan model of the doubly dispersive equation, which is well-known in the feld of materials research, is taken into consideration in this work. This equation is resolved using three diferent mathematical methods. The analytical method can produce traveling wave solutions by utilizing the wave transform. While bright-dark soliton and bright opti cal soliton solutions are produced by using auxiliary equation method, hyperbolic type traveling wave solutions are produced with the 1?G? -expansion method. The solutions produced by both analytical methods are diferent from the literature. A new discussion area is created using traveling wave solutions to this problem, which also has a Conform able derivative operator. It is a cognitive fact that the solutions of partial diferential equa tions shed light on the physical phenomenon. In light of this scientifc fact, it comprises scientifc debates that take into account the material’s density diference, Poisson’s ratio, material-specifc wave velocity, and laboratory predefned values. These discussions are supported by the solutions obtained by numerical technique. In addition, the accuracy of the results obtained with the numerical technique is analyzed with the L2 and L? norm errors and the datas have been compared with the table. After discussing the advantages and disadvantages of both mathematical techniques, scientifc interpretations that will shed light on physical and chemical phenomena, the efects of parameters on the solution func tion through traveling wave solutions are discussed and supported by graphics.
Açıklama
Anahtar Kelimeler
Doubly dispersive equation, 1 / G′- expansion method, Auxiliary equation method, Modifed laplace decomposition method, Error norms, Numerical analysis
Kaynak
Optical and Quantum Electronics
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
55
Sayı
6
