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Fakültesi / Enstitütü : Fen Fakültesi ✕Araştırmacılar : Anarkül URDALETOVA ✕

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Konu Başlıkları [35]

Prof. Dr. Anarkül URDALETOVAFen Fakültesi

SOLUTION OF SOME LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

Anarkül URDALETOVA

The problem of integrability of ordinary differential equations to find their exact solutions is a celebrated problem in the theory of differential equations which attracted attention of several workers in the area. This is due to the fact that: (a) differential equations are the most widely used continuous models of dynamic systems in physics, medicine, economics, biology and other sciences that study the surrounding reality, for which the explicit trajectory of the dynamic system's behavior is important as the explicit solution contains in itself the maximum information about the behavior of ...Daha fazlası

Makale 2022 Fen Fakültesi Advances in Differential Equations and Control Processes29 17 Görüntülenme

Introduction to Linear Difference Equations

Anarkül URDALETOVA

One of the biggest problems of modern mathematics is, to a large extent, its isolation from the world around it. Extensive use of linear difference equations can make a great contribution to solving this problem. In the language of these equations, the problems of financial mathematics are beautifully presented. And as can be understood from the study of difference equations, this is by no means their only advantage. In particular, there is a direct connection between the theory of linear difference equations and the theory of linear ordinary differential equations. Therefore, we are convinced ...Daha fazlası

Kitap Bölümü 2022 Fen Fakültesi Advances in Mathematics Research32 ( Chapter 5 ) 22 Görüntülenme

Using the Cramer-Gauss Method to Solve Systems of Linear Algebraic Equations with Tridiagonal and Five-Diagonal Coefficient Matrices

Anarkül URDALETOVA

It is known that among the methods used in solving systems of linear algebraic equations, the Cramer method has a number of disadvantages compared to the Gauss method, in particular: the inability to write out solutions to a system that has many solutions; the cumbersomeness of calculations with large system size. However, when applied to systems with a square matrix, it is, in a sense, more convenient than the Gauss method. The authors of this work developed and proposed a method in which they tried to combine the advantages of the Cramer and Gauss methods. In this paper, the Cramer-Gauss met ...Daha fazlası

Konferans Bildirisi 2023 Fen Fakültesi Intelligent Systems and Applications3 61 Görüntülenme

SOME CLASSES OF RICCATI EQUATIONS INTEGRABLE IN QUADRATURES

Anarkül URDALETOVA

As it is known, the second-order ordinary linear differential equation with variable coefficients is solvable in case if related Riccati equation can be integrated by quadratures. This paper considers establishment of correspondence between such equations by the authors’ method which means the second-order equation representation by a chain of the first-order equations. The algorithm of special Riccati equation solving is demonstrated (coefficients of these Riccati equations satisfy special conditions). One more peculiarity of this paper stands in consideration of exact applicational example – ...Daha fazlası

Makale 2023 Fen Fakültesi Journal of Universal Mathematics6 ( 1 ) 5 Görüntülenme

Direct Integration of Systems of Linear Differential and Difference Equations

Anarkül URDALETOVA

Traditionally the Euler method is used for solving systems of linear differential equations. The method is based on the use of eigenvalues of a system's coefficients matrix. Another method to solve those systems is the D'Alembert integrable combination method. In this paper, we present a new method for solving systems of linear differential and difference equations. The main idea of the method is using the coefficients matrix eigenvalues to find integrable combinations of system variables. This method is particularly advantageous when nonhomogeneous systems are considered.

Konferans Bildirisi 2019 Fen Fakültesi Filomat33 ( 5 ) 71 Görüntülenme

A study of the Fekete-Szego functional and coefficient estimates for subclasses of analytic functions satisfying a certain subordination condition and associated with the Gegenbauer polynomials

Muhammet KAMALİ | Anarkül URDALETOVA

In this paper, we introduce and study a new subclass of normalized analytic functions, denoted by F-(beta,gamma())(alpha, delta, mu, H(z, C-n((lambda)) (t) )), satisfying the following subordination condition and associated with the Gegenbauer (or ultraspherical) polynomials C-n((lambda))(t) of order lambda and degree n in t: alpha (zG' (z)/G (z))(delta) + (1 - alpha) (alpha(zG' (z)/G (z))(mu) (1 + alpha(zG' (z)/G' (z))delta)(1-mu) < H(z, C-n((lambda)) (t) ), where H(z,C-n(()lambda) (t) ) = Sigma(infinity)(n=0) C-n(()lambda) (t) zn = (1 - 2tz + z(2))(-lambda), G(z) = gamma beta z(2) f" (z) + ( ...Daha fazlası

Makale 2022 Fen Fakültesi AIMS Mathematics7 ( 2 ) 78 Görüntülenme

Solving a System of Linear Algebraic Equations with a Tridiagonal Matrix: A New Look at Cramer's Rule

Anarkül URDALETOVA

To numerically solve a system of linear algebraic equations with a tridiagonal matrix, a recursive version of Cramer's rule is proposed. This method requires no additional restrictions on the matrix of the system similar to those formulated for the double-sweep method. The results of numerical experiments on a large set of test problems are presented. A comparative analysis of the efficiency of the method and corresponding algorithms is given.

Makale 2021 Fen Fakültesi Numerical Analysis and Applications14 ( 3 ) 60 Görüntülenme

Решение системы линейных алгебраических уравнений с трехдиагональной матрицей: новый взгляд на метод Крамера

Anarkül URDALETOVA

Для численного решения системы линейных алгебраических уравнений с трехдиагональной матрицей в работе предлагается рекурсивный вариант метода Крамера. Предлагаемая методика не требует дополнительных ограничений на матрицу системы, подобных тем, которые формулируются для метода прогонки. Приводятся результаты численных эксперименты, в рамках которых на большом наборе тестовых задач проводится сравнительный анализ эффективности предлагаемой методики и соответствующих алгоритмов.

Makale 2021 Fen Fakültesi Сибирский журнал вычислительной математики24 ( 3 ) 98 Görüntülenme

Detaylı Arama

Filtreler

Koleksiyon [1]

Araştırmacılar [2]

BM Sürdürülebilir Kalkınma [1]

Fakültesi / Enstitütü [1]

Yayın Türü [3]

Yayımlanma Yılı [4]

Dil [2]

Kaynak [8]

Veri Tabanları [10]

İndex Türü [6]

İndex Türü 2 [1]

Yayıncı [6]

Bölümü [1]

Ulusal/Uluslararası [1]

Konu Başlıkları [35]

Anarkül URDALETOVA

Anarkül URDALETOVA

Anarkül URDALETOVA

Anarkül URDALETOVA

Anarkül URDALETOVA

Muhammet KAMALİ | Anarkül URDALETOVA

Anarkül URDALETOVA

Anarkül URDALETOVA