Numerical algorithm for the third-order partial differential equation with three-point boundary value problem
type: Item
instance of: scholarly article
title: Numerical algorithm for the third-order partial differential equation with three-point boundary value problem
zbMATH Open document ID: 1474.65411
DOI: 10.1155/2014/630671
author: Jing Niu
author: Ping Li
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A numerical method based on the reproducing kernel theorem is presented for the numerical solution of a three-point boundary value problem with an integral condition. Using the reproducing property and the existence of orthogonal basis in a new reproducing kernel Hilbert space, we obtain a representation of exact solution in series form and its approximate solution by truncating the series. Moreover, the uniform convergency is proved and the effectiveness of the proposed method is illustrated with some examples.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35G16
zbMATH DE Number: 7022775
Wikidata QID: Q59040188
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/630671
OpenAlex ID: W2028029972
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description: scientific article; zbMATH DE number 7022775