Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method

The numerical solution for a kind of third-order boundary value problems is discussed. With the barycentric rational interpolation collocation method, the matrix form of the third-order two-point boundary value problem is obtained, and the convergence and error analysis are obtained. In addition, so...

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Main Authors: Qian Ge, Xiaoping Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6698615
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author Qian Ge
Xiaoping Zhang
author_facet Qian Ge
Xiaoping Zhang
author_sort Qian Ge
collection DOAJ
description The numerical solution for a kind of third-order boundary value problems is discussed. With the barycentric rational interpolation collocation method, the matrix form of the third-order two-point boundary value problem is obtained, and the convergence and error analysis are obtained. In addition, some numerical examples are reported to confirm the theoretical analysis.
format Article
id doaj-art-2a96484eb0c74f39a4edf4bfc2468b31
institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-2a96484eb0c74f39a4edf4bfc2468b312025-02-03T06:46:14ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66986156698615Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation MethodQian Ge0Xiaoping Zhang1School of Science, Shandong Jianzhu University, Jinan 250101, ChinaSchool of Science, Shandong Jianzhu University, Jinan 250101, ChinaThe numerical solution for a kind of third-order boundary value problems is discussed. With the barycentric rational interpolation collocation method, the matrix form of the third-order two-point boundary value problem is obtained, and the convergence and error analysis are obtained. In addition, some numerical examples are reported to confirm the theoretical analysis.http://dx.doi.org/10.1155/2021/6698615
spellingShingle Qian Ge
Xiaoping Zhang
Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method
Journal of Mathematics
title Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method
title_full Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method
title_fullStr Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method
title_full_unstemmed Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method
title_short Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method
title_sort numerical solution for third order two point boundary value problems with the barycentric rational interpolation collocation method
url http://dx.doi.org/10.1155/2021/6698615
work_keys_str_mv AT qiange numericalsolutionforthirdordertwopointboundaryvalueproblemswiththebarycentricrationalinterpolationcollocationmethod
AT xiaopingzhang numericalsolutionforthirdordertwopointboundaryvalueproblemswiththebarycentricrationalinterpolationcollocationmethod