A predictor-corrector scheme for fourth order parabolic partial differential equations
type: Item
instance of: scholarly article
title: A predictor-corrector scheme for fourth order parabolic partial differential equations
zbMATH Open document ID: 0688.65059
DOI: 10.1016/0898-1221(89)90055-2
publication date: 1989-01-01T00:00:00Z
review text: Soit l'équation aux dérivées partielles du quatrième ordre: \(\frac{\partial^ 2u}{dt^ 2}+\mu \frac{\partial^ 4u}{\partial x^ 4}=f(x,t)\) avec \(\mu >0\), \(x_ 0<x<x_ 1\), \(t>0\). L'A. réduit cette equation en un système d'équations différentielles du second ordre non homogènes qu'il résout en utilisant des approximations de Padé. Un exemple numérique est donné.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 35K35
zbMATH DE Number: 4128330
zbMATH Keywords: numerical example
zbMATH Keywords: predictor-corrector method
zbMATH Keywords: fourth order parabolic partial differential equations
zbMATH Keywords: Euler-Bernoulli beam
zbMATH Keywords: transverse vibrations
author: A. Q. M. Khaliq
reviewed by: F.Ribière Michaud
MaRDI profile type: Publication
full work available at URL: 0898-1221(89)90055-2
OpenAlex ID: W1994487476
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4128330