The method of step by step inversion for numerical solution of the biharmonic equation
type: Item
instance of: scholarly article
title: The method of step by step inversion for numerical solution of the biharmonic equation
zbMATH Open document ID: 0858.65080
DOI: 10.1007/BF02109844
author: S. B. Sorikin
published in: Siberian Mathematical Journal
publication date: 1996-10-15T00:00:00Z
review text: For the boundary value problem \[ Lu \equiv (k(x)u''(x))'' =f(x); \quad u(0)=u'(0) = u'(1)=u(1)=0 \] a difference approximation which follows from the factorization of the differential operator \(L\) is derived. The corresponding system of linear equations is solved using a factorization method. This method requires \(N\) divisions, \(3N\) multiplications and \(15N\) additions.
reviewed by: Z.Schneider
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65L12
zbMATH DE Number: 923529
zbMATH Keywords: difference method
zbMATH Keywords: method of step by step inversion
zbMATH Keywords: biharmonic equation
zbMATH Keywords: factorization method
MaRDI profile type: Publication
cites work: Q4220295
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description: scientific article; zbMATH DE number 923529