Subdivision collocation method: a new numerical technique for solving hyperbolic partial differential equation in non-uniform medium
Yükleniyor...
Dosyalar
Tarih
2025-03-12
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media LLC
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper deals with a new numerical technique for solving the second order linear homogeneous and inhomogeneous hyperbolic partial differential equation with variable and constant coefficients. In this technique, the time derivative is described using a finite difference technique, while the collocation method based on subdivision scheme is used to interpose the space dimension. The convergence and error estimation of the proposed technique along with comparison have been presented in this paper. In terms of computational efficiency, our technique yields a solution that is identical to existing works. Furthermore, the applicability and effectiveness of proposed technique are illustrated with numerical examples.
Açıklama
Anahtar Kelimeler
Wave equation, Non-uniform medium, Hyperbolic equation, Partial differential equations
Kaynak
Boletín de la Sociedad Matemática Mexicana
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
31
Sayı
2
Künye
Malik, S., Ejaz, S. T., & Akgül, A. (2025). Subdivision collocation method: a new numerical technique for solving hyperbolic partial differential equation in non-uniform medium. Boletín de la Sociedad Matemática Mexicana, 31(2), 1-17.
