Disintegration conditions for a nonlinear wave in a viscoelastic medium
type: Item
instance of: scholarly article
title: Disintegration conditions for a nonlinear wave in a viscoelastic medium
zbMATH Open document ID: 0962.74030
author: A. G. Kulikovskii
author: A. P. Chugaĭnova
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-03T00:00:00Z
review text: The authors study numerically quasi-transverse waves in a viscoelastic medium which interact with local inhomogeneities. The authors determine the parameters of inhomogeneities which can cause irreversible disintegration of a wave into a system of waves with different velocities. The corresponding initial-boundary value problem is approximated by nonlinear implicit finite difference scheme and solved first by Newton's method, and then by the matrix sweep method.
Mathematics Subject Classification ID: 74J30
Mathematics Subject Classification ID: 74S20
Mathematics Subject Classification ID: 74J40
Mathematics Subject Classification ID: 74D05
zbMATH DE Number: 1467880
zbMATH Keywords: quasi-transverse waves
zbMATH Keywords: local inhomogeneities
zbMATH Keywords: viscoelastic medium
zbMATH Keywords: irreversible disintegration
zbMATH Keywords: nonlinear implicit finite difference scheme
zbMATH Keywords: Newton's method
zbMATH Keywords: matrix sweep method
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1467880