Numerical approximation of the non-linear fourth-order boundary-value problem

Svobodová, Ivona

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 201-206

Abstract

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We consider functionals of a potential energy ψ ( u ) corresponding to 𝑎𝑛 𝑎𝑥𝑖𝑠𝑦𝑚𝑚𝑒𝑡𝑟𝑖𝑐 𝑏𝑜𝑢𝑛𝑑𝑎𝑟𝑦 - 𝑣𝑎𝑙𝑢𝑒 𝑝𝑟𝑜𝑏𝑙𝑒𝑚 . We are dealing with 𝑎 𝑑𝑒𝑓𝑙𝑒𝑐𝑡𝑖𝑜𝑛 𝑜𝑓 𝑎 𝑡ℎ𝑖𝑛 𝑎𝑛𝑛𝑢𝑙𝑎𝑟 𝑝𝑙𝑎𝑡𝑒 with 𝑁𝑒𝑢𝑚𝑎𝑛𝑛 𝑏𝑜𝑢𝑛𝑑𝑎𝑟𝑦 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛𝑠 . Various types of the subsoil of the plate are described by various types of the 𝑛𝑜𝑛𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡𝑖𝑎𝑏𝑙𝑒 nonlinear term ψ ( u ) . The aim of the paper is to find a suitable computational algorithm.

How to cite

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Svobodová, Ivona. "Numerical approximation of the non-linear fourth-order boundary-value problem." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2008. 201-206. <http://eudml.org/doc/271385>.

@inProceedings{Svobodová2008,
abstract = {We consider functionals of a potential energy $\mathbb \{P\}_\{\psi \} (u)$ corresponding to $\it \{an axisymmetric boundary-value problem\}$. We are dealing with $\it \{a deflection of a thin annular plate\}$ with $\it \{Neumann boundary conditions\}$. Various types of the subsoil of the plate are described by various types of the $\it \{nondifferentiable\}$ nonlinear term $\psi (u)$. The aim of the paper is to find a suitable computational algorithm.},
author = {Svobodová, Ivona},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {201-206},
publisher = {Institute of Mathematics AS CR},
title = {Numerical approximation of the non-linear fourth-order boundary-value problem},
url = {http://eudml.org/doc/271385},
year = {2008},
}

TY - CLSWK
AU - Svobodová, Ivona
TI - Numerical approximation of the non-linear fourth-order boundary-value problem
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2008
CY - Prague
PB - Institute of Mathematics AS CR
SP - 201
EP - 206
AB - We consider functionals of a potential energy $\mathbb {P}_{\psi } (u)$ corresponding to $\it {an axisymmetric boundary-value problem}$. We are dealing with $\it {a deflection of a thin annular plate}$ with $\it {Neumann boundary conditions}$. Various types of the subsoil of the plate are described by various types of the $\it {nondifferentiable}$ nonlinear term $\psi (u)$. The aim of the paper is to find a suitable computational algorithm.
UR - http://eudml.org/doc/271385
ER -

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