Analysis and numerical approximation of the fractional-order two-dimensional diffusion-wave equation
[ X ]
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Frontiers Media Sa
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Non-local fractional derivatives are generally more effective in mimicking real-world phenomena and offer more precise representations of physical entities, such as the oscillation of earthquakes and the behavior of polymers. This study aims to solve the 2D fractional-order diffusion-wave equation using the Riemann-Liouville time-fractional derivative. The fractional-order diffusion-wave equation is solved using the modified implicit approach based on the Riemann-Liouville integral sense. The theoretical analysis is investigated for the suggested scheme, such as stability, consistency, and convergence, by using Fourier series analysis. The scheme is shown to be unconditionally stable, and the approximate solution is consistent and convergent to the exact result. A numerical example is provided to demonstrate that the technique is more workable and feasible.
Açıklama
Anahtar Kelimeler
fractional-order diffusion-wave equation, implicit scheme, Riemann-Liouville fractional integral operator, stability, consistency, convergence
Kaynak
Frontiers in Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
11
