Solving fourth order differential equations using particular solutions of Helmholtz-type equations
type: Item
instance of: scholarly article
title: Solving fourth order differential equations using particular solutions of Helmholtz-type equations
zbMATH Open document ID: 1416.65470
author: Wanru Chang
author: Wen Li
author: C. S. Chen
published in: Applied Mathematics Letters
publication date: 2019-02-20T00:00:00Z
review text: The main focus of this article is the numerical solution of a fourth-order partial differential equation of the form $\left(\Delta^2-\lambda^2\right) u=f$ in a closed and bounded domain $\Omega$ with appropriate boundary conditions using the method of particular solutions. However, the derivation of a closed form particular solution is far from being trivial. Therefore, the authors provide a simple algebraic procedure to avoid this derivation. A numerical example complements their proposed approach.
reviewed by: Andreas Kleefeld
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65F08
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 7025994
zbMATH Keywords: particular solutions
zbMATH Keywords: polynomial basis functions
zbMATH Keywords: method of particular solutions
zbMATH Keywords: Helmholtz equation
MaRDI profile type: Publication
full work available at URL: j.aml.2018.06.012
OpenAlex ID: W2810338215
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Wikidata QID: Q129610055
DOI: 10.1016/J.AML.2018.06.012
description: scientific article; zbMATH DE number 7025994