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    Wyświetlanie 1-18 z 18
    Tytuł:
    Initial-boundary value problems for impulsive parabolic functional differential equations
    Autorzy:
    Bainov, D.
    Kamont, Zdzisław
    Minchev, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/1339288.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    initial-boundary value problems
    impulsive parabolic equations
    Opis:
    Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.
    Źródło:
    Applicationes Mathematicae; 1996-1997, 24, 1; 1-15
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Initial boundary value problems for vortex motion of an ideal fluid in bounded domains
    Autorzy:
    Szmidt, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/241010.pdf
    Data publikacji:
    2001
    Wydawca:
    Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
    Tematy:
    vortex motion
    incompressible perfect fluid
    bounded domains
    boundary value problems
    water wave
    Opis:
    The paper deals with the problem of vortex motion of an incompressible perfect fluid in bounded domains. The research is confined to chosen cases of steady velocity fields within rectangular, circular and elliptic regions with rigid boundaries. The solution to the initial-value problem of the fluid flow for the assumed velocity fields is the primary object of this paper. It is demonstrated that individual particles of the fluid have their own periods of motion and thus, one should be careful in describing such problems by means of discrete methods, especially in the Lagrangian variables. The problem discussed has its origin in numerical analysis of water waves by means of the finite difference or the finite element method.
    Źródło:
    Archives of Hydro-Engineering and Environmental Mechanics; 2001, 48, 1; 19-33
    1231-3726
    Pojawia się w:
    Archives of Hydro-Engineering and Environmental Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems
    Autorzy:
    Kropielnicka, Karolina
    Powiązania:
    https://bibliotekanauki.pl/articles/745296.pdf
    Data publikacji:
    2005
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    initial boundary value problems
    bicharacteristics
    interpolating operators
    Opis:
    Classical solutions of mixed problems for first order partial functional differential systems in two independent variables are approximated in the paper with solutions of a difference problem of the Euler type. The mesh for the approximate solutions is obtained by a numerical solving of equations of bicharacteristics. The convergence of explicit difference schemes is proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of the Perron type. Differential systems with deviated variables and differential integral systems can be obtained from a general model by specializing given operators.
    Źródło:
    Commentationes Mathematicae; 2005, 45, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalized solutions of first order partial differential functional inequalities
    Autorzy:
    Czernous, Wojciech
    Powiązania:
    https://bibliotekanauki.pl/articles/746208.pdf
    Data publikacji:
    2006
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    initial boundary value problems
    partial functional differential inequalities
    Carathéodory solutions
    uniqueness
    bicharacteristics
    Opis:
    The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.
    Źródło:
    Commentationes Mathematicae; 2006, 46, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Difference functional inequalities and applications
    Autorzy:
    Szafrańska, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/255602.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    initial boundary value problems
    difference functional inequalities
    difference methods
    stability and convergence
    interpolating operators
    error estimates
    Opis:
    The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
    Źródło:
    Opuscula Mathematica; 2014, 34, 2; 405-423
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Implicit difference methods for infinite systems of hyperbolic functional differential equations
    Autorzy:
    Szafrańska, Anna
    Powiązania:
    https://bibliotekanauki.pl/articles/745990.pdf
    Data publikacji:
    2010
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    initial boundary value problems
    difference functional equations
    difference methods
    stability and convergence
    interpolating operators
    nonlinear estimates of the Perron type
    Opis:
    The paper deal with classical solutions of initial boundary value problems for infinite systems of nonlinear differential functional equations. Two types of difference schemes are constructed. First we show that solutions of our differential problem can be approximated by solutions of infinite difference functional schemes. In the second part of the paper we proof that solutions of finite difference systems approximate the solutions of aur differential problem. We give a complete convergence analysis for both types of difference methods. We adopt nonlinear estimates of the Perron type for given functions with respect to the functional variable. The proof of the stability is based on the comparison technique. Numerical examples are presented.
    Źródło:
    Commentationes Mathematicae; 2010, 50, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Weighted difference schemes for systems of quasilinear first order partial functional differential equations
    Autorzy:
    Szafrańska, Anna
    Powiązania:
    https://bibliotekanauki.pl/articles/747972.pdf
    Data publikacji:
    2015
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    initial boundary value problems, difference methods, stability and convergence, interpolating operators, error estimates, comparison methods
    zagadnienia początkowo-brzegowe, metody różnicowe, stabilność i zbieżność, operatory interpolacyjne, oszacowanie błędu, metody porównawcze.
    Opis:
    Praca dotyczy zagadnien poczatkowo brzegowych typu Dirichlet’a dlaukładów quasiliniowych równan rózniczkowo-funkcyjnych. Zamieszczona jest konstrukcjawazonych metod róznicowych dla wyjsciowych zagadnien rózniczkowychoraz przeprowadzona jest pełna analiza zbieznosci. Niezbedne załozenia obejmujaoszacowania typu Perrona dla funkcji danych wzgledem argumentów funkcyjnych.Dowód stabilnosci metody róznicowej opiera sie na technice porównawczej. Teoretycznerezultaty zobrazowane sa na przykładzie całkowego równania rózniczkowegooraz równan rózniczkowych z odchylonym argumentem.
    The paper deals with initial boundary value problems of the Dirichlet type for system of quasilinear functional differential equations.We investigate weighted difference methods for these problems.A complete convergence analysis of the considered difference methods is given. Nonlinear estimates of the Perron type with respect to functional variables for given functions are assumed. The proof of the stability of difference problems is based on a comparison technique. The results obtained here can be applied to differential integral problems and differential equations with deviated variables.Numerical examples are presented.
    Źródło:
    Mathematica Applicanda; 2015, 43, 2
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Laguerre polynomial solutions of a class of initial and boundary value problems arising in science and engineering fields
    Autorzy:
    Gürbüz, B.
    Sezer, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1061583.pdf
    Data publikacji:
    2016-07
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Gp
    02.30.Hq
    02.70
    Opis:
    In this study, we consider high-order nonlinear ordinary differential equations with the initial and boundary conditions. These kinds of differential equations are essential tools for modelling problems in physics, biology, neurology, engineering, ecology, economy, astrophysics, physiology and so forth. Each of the mentioned problems are described by one of the following equations with the specific physical conditions: Riccati, Duffing, Emden-Fowler, Lane Emden type equations. We seek the approximate solution of these special differential equations by means of a operational matrix technique, called the Laguerre collocation method. The proposed method is based on the Laguerre series expansion and the collocation points. By using the method, the mentioned special differential equations together with conditions are transformed into a matrix form which corresponds to a system of nonlinear algebraic equations with unknown Laguerre coefficients, and thereby the problem is approximately solved in terms of Laguerre polynomials. In addition, some numerical examples are presented to demonstrate the efficiency of the proposed method and the obtained results are compared with the existing results in literature.
    Źródło:
    Acta Physica Polonica A; 2016, 130, 1; 194-197
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Bessel matrix differential equations: explicit solutions of initial and two-point boundary value problems
    Autorzy:
    Navarro, Enrique
    Company, Rafael
    Jódar, Lucas
    Powiązania:
    https://bibliotekanauki.pl/articles/1340656.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    initial value problem
    closed form solution
    fundamental set
    boundary value problem
    Bessel matrix equation
    Opis:
    In this paper we consider Bessel equations of the type $t^2 X^{(2)}(t) + t X^{(1)}(t) + (t^2 I - A^2)X(t) = 0$, where A is an n$\times$n complex matrix and X(t) is an n$\times$m matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.
    Źródło:
    Applicationes Mathematicae; 1993-1995, 22, 1; 11-23
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Устойчивые начальные многообразия и сингулярные краевые задачи для систем обыкновенных дифференциальных уравнений
    Stable initial manifolds and singular boundary value problems for systems of ordinary differential equations.
    Autorzy:
    Абрамов, А. А.
    Конюхова, Н. Б.
    Балла, К.
    Powiązania:
    https://bibliotekanauki.pl/articles/720502.pdf
    Data publikacji:
    1984
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Źródło:
    Banach Center Publications; 1984, 13, 1; 319-351
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Matrix Greens function of double-diffusivity problem and its applications to problems with inner point source
    Autorzy:
    Chaplya, Yevhen
    Chernukha, Olha
    Bilushchak, Yurii
    Powiązania:
    https://bibliotekanauki.pl/articles/1954454.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Gdańska
    Tematy:
    Green’s function
    double-diffusivity
    initial-boundary value problem
    point mass source
    random coordinate
    Opis:
    The matrix Green’s function of the initial-boundary value problem of admixture double-diffusivity is defined. The initial-boundary value problem with a point source is formulated for the matrix elements for determination of the matrix Green’s function. Formulae for matrix elements are obtained and the behavior of Green’s functions is investigated. It is shown that the surface generated by the Green’s function has a typical sharp peak in the vicinity of the point of action of the point mass source, and in the vicinity of the top boundary of the layer ,the values of the second element of the Green’s function are times higher than the values of the first one the state of which is corresponding to the quick migration way. On this basis the solutions of the initial-boundary value problems under the action of the internal point source of mass are found. The cases of the deterministic source as well as stochastic ones under uniformand triangular distributions of the coordinate of the mass source location are considered.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2019, 23, 1; 75-99
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An intial-value technique for self-adjoint singularly perturbed two-point boundary value problems
    Autorzy:
    Padmaja, P.
    Aparna, P.
    Gorla, R. S. R.
    Powiązania:
    https://bibliotekanauki.pl/articles/264933.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    wartość początkowa
    wartość brzegowa
    perturbacja procesu
    initial value technique
    boundary value problem
    singular perturbation problem
    Opis:
    In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linearvboundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value problems. This replacement is significant from the computational point of view. The classical fourth order Runge-Kutta method is used to solve these initial value problems. This approach to solve singularly perturbed boundary-value problems is numerically very appealing. To demonstrate the applicability of this method, we have applied it on several linear examples with left-end boundary layer and rightend layer. From the numerical results, the method seems accurate and solutions to problems with extremely thin boundary layers are obtained.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2020, 25, 1; 106-126
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-18 z 18

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