Subdivision collocation method for numerical treatment of regularized long wave (RLW) equation
[ X ]
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Aip Publishing
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This research project introduces a novel computational approach for solving the regularized long wave equation. The proposed method utilizes a subdivision scheme with appropriate basis functions to transform the equation into a system of linear algebraic equations. A suitable numerical technique is employed to compute the solution of the transformed equations. Theoretical analysis of stability and error for the proposed method is also conducted. Furthermore, the invariants of three physical properties, waves, mass (M), momentum (P), and energy (e), are calculated. Additionally, numerical evidence is presented to demonstrate the effectiveness and accuracy of the method. The results of the numerical experiments confirm the efficiency and high accuracy of the proposed method. Moreover, the numerical results of the invariants validate the conservation laws and align with the theoretical results.
Açıklama
Anahtar Kelimeler
Kaynak
Aip Advances
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
14
Sayı
1
