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Wyszukujesz frazę "boundary problems" wg kryterium: Wszystkie pola


Wyświetlanie 1-8 z 8
Tytuł:
Right focal boundary value problems for difference equations
Autorzy:
Henderson, J.
Liu, X.
Lyons, J. W.
Neugebauer, J. T.
Powiązania:
https://bibliotekanauki.pl/articles/255580.pdf
Data publikacji:
2010
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
difference equation
boundary value problem
right focal
fixed point theorem
positive solution
Opis:
An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete boundary value problem. In the application of the fixed point theorem, neither the entire lower nor entire upper boundary is required to be mapped inward or outward. A nontrivial example is also provided.
Źródło:
Opuscula Mathematica; 2010, 30, 4; 447-456
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boundary Value Problems for Differential Equations with Fractional Order and Nonlinear Integral Conditions
Autorzy:
Benchohra, Mouffak
Hamani, Samira
Powiązania:
https://bibliotekanauki.pl/articles/746522.pdf
Data publikacji:
2009
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
boundary value problem
Caputo fractional derivative
fractional integral
existence
uniqueness
fixed point
integral conditions
Opis:
In this paper, we shall establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential equations involving the Caputo fractional derivative and nonlinear integral conditions.
Źródło:
Commentationes Mathematicae; 2009, 49, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
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:
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:
The finite difference method on adaptive mesh for singularly perturbed nonlinear 1D reaction diffusion boundary value problems
Autorzy:
Duru, Hakkı
Güneş, Baransel
Powiązania:
https://bibliotekanauki.pl/articles/1839738.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
boundary value problem
singularly perturbed problem
finite difference method
metoda różnic skończonych
schemat różnicowy
metoda Newtona-Raphsona
równanie reakcji–dyfuzji
Opis:
In this paper, we study singularly perturbed nonlinear reaction-diffusion equations. The asymptotic behavior of the solution is examined. The difference scheme which is accomplished by the method of integral identities with using of interpolation quadrature rules with weight functions and remainder term integral form is established on adaptive mesh. Uniform convergence and stability of the difference method are discussed in the discrete maximum norm. The discrete scheme shows that orders of convergent rates are close to 2. An algorithm is presented, and some problems are solved to validate the theoretical results.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 45-56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The finite difference method on adaptive mesh for singularly perturbed nonlinear 1D reaction diffusion boundary value problems
Autorzy:
Duru, Hakkı
Güneş, Baransel
Powiązania:
https://bibliotekanauki.pl/articles/1839748.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
boundary value problem
singularly perturbed problem
finite difference method
metoda różnic skończonych
schemat różnicowy
metoda Newtona-Raphsona
równanie reakcji–dyfuzji
Opis:
In this paper, we study singularly perturbed nonlinear reaction-diffusion equations. The asymptotic behavior of the solution is examined. The difference scheme which is accomplished by the method of integral identities with using of interpolation quadrature rules with weight functions and remainder term integral form is established on adaptive mesh. Uniform convergence and stability of the difference method are discussed in the discrete maximum norm. The discrete scheme shows that orders of convergent rates are close to 2. An algorithm is presented, and some problems are solved to validate the theoretical results.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 45-56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Differential quadrature methodfor some diffusion-reaction problems
Autorzy:
Szukiewicz, Mirosław K.
Powiązania:
https://bibliotekanauki.pl/articles/184877.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
numerical algorithm
boundary value problem
reaction-diffusion equation
algorytm numeryczny
wartość graniczna
równanie dyfuzji reakcyjnej
Opis:
In the paper, differential quadrature method (DQM) is used to find numerical solutions of reaction-diffusion equations with different boundary conditions. The DQM-method changes the reaction-diffusion equation (ordinary differential equation) into a system of algebraic equations. The obtainedsystem is solved using built-in procedures of Maple®(Computer Algebra System-type program).Calculations were performed with Maple®program. The test problems include reaction-diffusionequation applied in heterogeneous catalysis. The method can be employed even in relatively hard tasks(e.g. ill-conditioned, free boundary problems).
Źródło:
Chemical and Process Engineering; 2020, 41, 1; 3-11
0208-6425
2300-1925
Pojawia się w:
Chemical and Process Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of Greens operator to quadratic variational problems
Autorzy:
Azbelev, N. V.
Tsalyuk, V. Z.
Powiązania:
https://bibliotekanauki.pl/articles/255629.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
quadratic variational problem
Sobolev space
boundary value problem
Hilbert space
Green's operator
Fredholm integral operator
spectrum
Opis:
We use Green's function of a suitable boundary value problem to convert the variational problem with quadratic functional and linear constraints to the equivalent unconstrained extremal problem in some subspace of the space L2 of quadratically summable functions. We get the neccessary and sufficient criterion for unique solvability of the variational problem in terms of the spectrum of some integral Hilbert-Schmidt operator in L2 with symmetric kernel. The numerical technique is proposed to estimate this criterion. The results are demonstrated on examples: 1) a variational problem with deviating argument, and 2) the problem of the critical force for the vertical pillar with additional support point (the qualities of the pillar may vary discontinuously along the pillar's axis).
Źródło:
Opuscula Mathematica; 2006, 26, 2; 243-256
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-8 z 8

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