Numerical solution of a hydrodynamics problem with a nonlinear source function in a class of discontinuous functions
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Physics Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a new numerical method is proposed for solving the generalized Buckley-Leverett problem, which describes the movement of two-phase mixtures in Bazhenov bed sediments in a class of discontinuous functions. For this aim, an auxiliary problem that has some advantages over the main problem and is equivalent to the main problem in a definite sense is introduced. By developing an original finite difference method obtained via advantages of the auxiliary problem, it is proposed that the efficient and economical numerical algorithms from a computer point of view for finding the weak solution of the main problem. In addition to these, the auxiliary problem also allows us to obtain the weak solution in a class of discontinuous functions, which accurately describes all physical properties of the problem.
Açıklama
6th International Conference on Analysis and Applied Mathematics, ICAAM 2022 -- Antalya -- 31 October-6 November 2022
Anahtar Kelimeler
Kaynak
6th International Conference on Analysis and Applied Mathematics, ICAAM 2022
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
3085
Sayı
1
