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    Wyświetlanie 1-8 z 8
    Tytuł:
    A Boundary-Value Problem for Linear Pdaes
    Autorzy:
    Marszałek, W.
    Trzaska, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/908511.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    differential algebraic equations
    boundary value problems
    linear multivariable systems
    Opis:
    We analyze a boundary-value problem for linear partial differential algebraic equations, or PDAEs, by using the method of the separation of variables. The analysis is based on the Kronecker-Weierstrass form of the matrix pencil [A,-ln B]. A new theorem is proved and two illustrative examples are given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 487-491
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    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
    Tytuł:
    Analytical solution of mixed boundary value problems using the displacement potential approach for the case of plane stress and plane strain conditions
    Autorzy:
    Deb Nath, S. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/266247.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    rozwiązanie analityczne
    naprężenie płaskie
    odkształcenie
    wartość graniczna
    analytical solution
    displacement potential approach
    plane stress and plane strain conditions
    mixed boundary value problems
    Opis:
    Two elastic plate problems made of duralumin are solved analytically using the displacement potential approach for the case of plane strain and plane stress conditions. Firstly, a one end fixed plate is considered in which the rest of the edges are stiffened and a uniform load is applied to the opposite end of the fixed end. Secondly, a plate is considered in which all of the edges are stiffened and a uniform tension is applied at its both ends. Solutions to both of the problems are presented for the case of plane stress and plane strain conditions. The effects of plane stress and plane strain conditions on the solutions are explained. In the case of stiffening of the edges of the plate, the shape of the plate does not change abruptly, which is clearly observed in both of the cases. For the plane strain condition, the plates become stiffer in the loading direction as compared to the plane stress condition. For the plane strain condition, there is a significant variation of the normal stress component, σzz at different sections of the plate. The graphical results, clearly identify the critical regions of the plate for the case of the plane stress and plane strain condition.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2017, 22, 2; 269-291
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Energy Method for Elastic Problems With Non-Homogeneous Boundary Conditions
    Autorzy:
    Quintanilla, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/907887.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    weighted energy method
    decay estimates
    Navier equations
    non-homogeneous boundary conditions
    Opis:
    In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder. A section is devoted to the study of an ill-posed problem. Some remarks are presented in the last section of the paper.In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder. A section is devoted to the study of an ill-posed problem. Some remarks are presented in the last section of the paper.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 91-100
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Pareto and Salukwadze Optimization Problems
    Autorzy:
    Kotarski, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/911205.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    brzeg Pareto
    optymalizacja
    Pareto and Salukwadze optima
    Pareto boundary
    criterion space
    scalarization
    Opis:
    In the paper, some problems of vector optimization are considered. Vector optimality is understood in the Pareto sense. Using the notion of Ponstein convexity, we formulate a 'scalarization' theorem. Two examples (vector optimization in IR^2 and an optimal-control problem for a parabolic equation with a vector performance index) are discussed. A Pareto boundary and a Salukwadze optimum are obtained for each of them. Additionally, for some vector optimization problems in IR^2, a criterion space is found. All calculations are performed with the use of Maple V. In the Appendix, a sketch of the proof of the main theorem on 'scalarization' is given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 465-485
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dynamic Contact Problems With Velocity Conditions
    Autorzy:
    Chau, O.
    Motreanu, V. V.
    Powiązania:
    https://bibliotekanauki.pl/articles/907895.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    lepkosprężystość
    viscoelastic
    elastic
    subdifferential boundary condition
    dynamic process
    nonlinear hyperbolic variational inequality
    maximal monotone operator
    weak solution
    Opis:
    We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of second-order evolution variational inequalities. We show that the solutions of the viscoelastic problems converge to the solution of the corresponding elastic problem as the viscosity tensor tends to zero and when the frictional potential function converges to the corresponding function in the elastic problem
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 17-26
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Difference scheme for differential-difference problems with small shifts arising in computational model of neuronal variability
    Autorzy:
    Kodipaka, Mamatha
    Emineni, Siva Prasad
    Kolloju, Phaneendra
    Powiązania:
    https://bibliotekanauki.pl/articles/2174179.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    siatka niejednorodna
    równanie różniczkowe
    warstwa brzegowa
    non-uniform grid
    differential-difference equations
    boundary layer
    Opis:
    The solution of differential-difference equations with small shifts having layer behaviour is the subject of this study. A difference scheme is proposed to solve this equation using a non-uniform grid. With the non-uniform grid, finite - difference estimates are derived for the first and second-order derivatives. Using these approximations, the given equation is discretized. The discretized equation is solved using the tridiagonal system algorithm. Convergence of the scheme is examined. Various numerical simulations are presented to demonstrate the validity of the scheme. In contrast to other techniques, maximum errors in the solution are organized to support the method. The layer behaviour in the solutions of the examples is depicted in graphs.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2022, 27, 1; 91--106
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An extended finite difference method for singular perturbation problems on a non-uniform mesh
    Autorzy:
    Swarnakar, D.
    Kumar, V. Ganesh
    Soujanya, G. B. S. L.
    Powiązania:
    https://bibliotekanauki.pl/articles/2174215.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    siatka niejednorodna
    metoda różnic skończonych
    warstwa graniczna
    non uniform grid
    finite difference method
    singular perturbation
    boundary layer
    Opis:
    An extended second order finite difference method on a variable mesh is proposed for the solution of a singularly perturbed boundary value problem. A discrete equation is achieved on the non uniform mesh by extending the first and second order derivatives to the higher order finite differences. This equation is solved efficiently using a tridiagonal solver. The proposed method is analysed for convergence, and second order convergence is derived. Model examples are solved by the proposed scheme and compared with available methods in the literature to uphold the method.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2022, 27, 1; 203--214
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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