Wyniki wyszukiwania - Biblioteka Nauki

Ten serwis zostanie wyłączony 2025-02-11.

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: symbolic computations

Sortuj według:

Ogranicz wyniki do:

Symbolic computations in structural dynamics using stochastic second order perturbation method

100%

Kamiński M.

tom Vol. 5, nr 1

69-80

The main idea is to show the application of symbolic computations in analysis of engineering systems with random parameters. The general computational methodology is based on the stochastic second order perturbation method and its implementation in the mathematical package MAPLE. The entire approach is displayed on the example of a simple single degree of freedom dynamical system with random spring stiffness. The results of symbolic computations are derived numerically in the form of probabilistic moments of the structural response, computed for the whole analysis time domain. This methodology can be applied to all the engineering problems, where the response can be derived symbolically in the deterministic case, while input parameters of the system are random variables, fields or processes characterized by the probability density function (PDF) of any type.

Computational Solutions for the Korteweg–deVries Equation in Warm Plasma

100%

El-Shewy E. K. , Abdelwahed H. G. , Abd-El-Hamid H. M.

tom Vol. 16, No. 1

13-18

The reductive perturbation method has been employed to derive the Korteweg–deVries (KdV) equation for small but finite amplitude electrostatic ion-acoustic waves. An algebraic method with computerized symbolic computation, which greatly exceeds the applicability of the existing tanh, extended tanh methods in obtaining a series of exact solutions of the KdV equation. Numerical studies have been made using plasma parameters to reveal different solutions, i.e. bell-shaped solitary pulses, rational pulses and solutions with singularity at a finite points called “blowup” solutions in addition to the propagation of explosive pulses. The result of the present investigation may be applicable to some plasma environments, such as ionosphere.

Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space

88%

Arqub O. A.

tom Vol. 166, nr 2

87--110

The object of this article is to present the computational solution of the time-fractional Schrödinger equation subject to given constraint condition based on the generalized Taylor series formula in the Caputo sense. The algorithm methodology is based on construct a multiple fractional power series solution in the form of a rabidly convergent series with minimum size of calculations using symbolic computation software. The proposed technique is fully compatible with the complexity of this problem and obtained results are highly encouraging. Efficacious computational experiments are provided to guarantee the procedure and to illustrate the theoretical statements of the present algorithm in order to show its potentiality, generality, and superiority for solving such fractional equation. Graphical results and numerical comparisons are presented and discussed quantitatively to illustrate the solution.