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On the evolution of solutions of Burgers equation on the positive quarter-plane

Hanaç Esen

Demonstratio Mathematica

2019

Vol. 52, nr 1

237--248

In this paper we investigate an initial-boundary value problem for the Burgers equation on the positive quarter-plane; vt + vvx - vxx = 0, x>0, t>0, v(x,0) = u+, x>0, v(0,t) = ub, t>0, where x and t represent distance and time, respectively, and u+ is an initial condition, ub is a boundary condition which are constants (u+ ≠ ub). Analytic solution of above problem is solved depending on parameters (u+ and ub) then compared with numerical solutions to show there is a good agreement with each solutions.

Vibrations of plate strips with internal periodic structure

Marczak J., Jędrysiak J.

Engineering Transactions

2015

Vol. 63, iss. 1

93--108

In this note vibrations of thin periodic plate strips with periodically distributed systems of three concentrated masses are analysed. Results of the non-asymptotic tolerance model are compared to those by the exact discrete model. In an example, these models are used to calculate lower and higher frequencies of the travelling wave related to the internal periodic structure.

Travelling Wave Single End Fault Location Method based on Network Information

Chen Y., Liu D., Xu B.

Przegląd Elektrotechniczny

2012

R. 88, nr 11a

205-209

The single end travelling wave fault location method is usually difficult to discriminate the reflection wave of fault point. This paper employs wavelet transform to detect possible fault point in power system. Using the real time network topology and possible fault point, the travelling wave propagation waveform can be constructed. By comparing the constructed waveforms and real recorded waveform, the reflection wave of fault point can be identified. The simulation verifies its correctness, and the field application proves the feasibility of this method.

W artykule zaprezentowano metodę lokalizacji możliwych awarii w sieci energetycznej na podstawie Transformaty Falkowej. Wyniki badań symulacyjnych i eksperymentalnych potwierdzają skuteczność metody.