Sinsoysal, BahaddinRasulov, MurodjonIskenderova, R.2024-06-132024-06-1320232518-792910.31489/2023M1/131-1402-s2.0-85156142373https://doi.org/10.31489/2023M1/131-140https://hdl.handle.net/11501/14146th International Conference on Analysis and Applied Mathematics (ICAAM) -- October 31-Novemver 06, 2022 -- Antalya, TurkeyA 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.eninfo:eu-repo/semantics/openAccessGeneralized Buckley-Leverett ProblemAuxiliary ProblemFinite Differences Method in a Class of Discontinuous FunctionsFluidConference Object1401Q3131109WOS:000962373900011Q2