Yazar "Rasulov, Mahir" seçeneğine göre listele

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    Numerical solution of a hydrodynamics problem with a nonlinear source function in a class of discontinuous functions
    (American Institute of Physics Inc., 2024) Sinsoysal, Bahaddin; Rasulov, Mahir; Iskenderova, Revane
    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.
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    Study of the problem of one-dimensional flow of homogenous fluids in fractal porous media
    (Springer Science and Business Media Deutschland GmbH, 2024) Aliyev, Nihan; Rasulov, Mahir; Sinsoysal, Bahaddin
    In this paper, for the first time the exact solution in the form of Mittag-Leffler series for the initial-boundary problem of the fractional differential equation is obtained expressing the process of one-dimensional motion in porous medium with complex permeability homogeneous fluid to gallery. The obtained result permits the theoretical calculations in the process of exploitation of oil fields with a fractal nature.
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    The boundary value problem for an ordinary linear half-order differential equation
    (E.A. Buketov Karaganda University Publish House, 2024) Aliyev, Nihan; Rasulov, Mahir; Sinsoysal, Bahaddin
    This study is devoted to the study of the solution of a boundary value problem for an ordinary linear differential equation of half order with constant coefficients. Using of the fundamental solution of the main part of the considered equation, we obtained the principal relations, from which we obtain the necessary conditions for the Fredholm property of the original problem. Further, using the Mittag-Leffler function, a general solution of the homogeneous equation is obtained. Finally, the problem under consideration is reduced to an integral Fredholm equation of the second kind with a non-singular kernel, i.e., the Fredholm property of the stated problem is proved.