Work

Numerical method to solution of generalized model Buckley-Leverett in a class of discontinuous functions

Year: 2023

Type: article

Abstract: A new numerical method is proposed for solving the generalized Buckley-Leverett problem, which describes the movement of two-phase mixtures of Bazhenov bed sediments in a class of discontinuous functions. To this end, we introduce an auxiliary problem that has advantages over the main problem, and using these advantages, an original finite difference method to solve of the auxiliary problem is developed. Using the suggested auxiliary problem, a solution which expresses exactly all physical characteristics of the problem is obtained.

Source: BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

DOI: 10.31489/2023m1/131-140

Authors: B. Sinsoysal, M. Rasulov, R. Iskenderova

Institutions: Gedik University, Azerbaijan National Academy of Sciences, Neft və Qaz İnstitutu

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4366373169

FWCI: 0.429

Cites: 22

Cited by: 2

Related to: 10