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

Programs and Algorithms of Numerical Mathematics, GDML_Books, (2008), p. 201-206 / Harvested from

Résumé

We consider functionals of a potential energy $ℙ_{ψ} (u)$ 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.

Zbl 05802260

EUDML-ID : urn:eudml:doc:271385
Mots clés:

@article{702874,
     title = {Numerical approximation of the non-linear fourth-order boundary-value problem},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2008},
     pages = {201-206},
     zbl = {05802260},
     url = {http://dml.mathdoc.fr/item/702874}
}

Svobodová, Ivona. Numerical approximation of the non-linear fourth-order boundary-value problem, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2008), pp. 201-206. http://gdmltest.u-ga.fr/item/702874/