Detail publikace

# Noise influenced transmission line model via partial stochastic differential equations

Originální název

Noise influenced transmission line model via partial stochastic differential equations

Anglický název

Noise influenced transmission line model via partial stochastic differential equations

Jazyk

en

Originální abstrakt

In this paper we introduce stochastic ordinary and stochastic partial differential equations and apply the theory to the model of transmission line. First we consider transmission line with external sources affected by randomness. Here the theory of ordinary stochastic differential equations is applied. We illustrate the solution by an example, where we simulate the stochastic responses of the system. While considering stochastic effects inside of the transmission line, we have to use the stochastic partial differential equation model. Here we present the theoretical background of the situation.

Anglický abstrakt

In this paper we introduce stochastic ordinary and stochastic partial differential equations and apply the theory to the model of transmission line. First we consider transmission line with external sources affected by randomness. Here the theory of ordinary stochastic differential equations is applied. We illustrate the solution by an example, where we simulate the stochastic responses of the system. While considering stochastic effects inside of the transmission line, we have to use the stochastic partial differential equation model. Here we present the theoretical background of the situation.

Dokumenty

BibTex

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@inproceedings{BUT157650,
author="Edita {Kolářová} and Lubomír {Brančík}",
title="Noise influenced transmission line model via partial stochastic differential equations",
annote="In this paper we introduce stochastic ordinary and stochastic partial differential equations and apply the theory to the model of transmission line. First we  consider transmission line with external sources affected by randomness. Here  the theory of ordinary stochastic differential equations is applied. We illustrate the solution by an example, where we simulate the stochastic responses of the system. While considering stochastic effects inside of the transmission line, we have to use the stochastic partial differential equation model. Here we present the theoretical background of the situation.",