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

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: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6698615
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spelling doaj-2a96484eb0c74f39a4edf4bfc2468b312021-03-01T01:14:48ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/6698615Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation MethodQian Ge0Xiaoping Zhang1School of ScienceSchool of ScienceThe 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
collection DOAJ
language English
format Article
sources DOAJ
author Qian Ge
Xiaoping Zhang
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
author_facet Qian Ge
Xiaoping Zhang
author_sort Qian Ge
title 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_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_sort numerical solution for third-order two-point boundary value problems with the barycentric rational interpolation collocation method
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
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.
url http://dx.doi.org/10.1155/2021/6698615
work_keys_str_mv AT qiange numericalsolutionforthirdordertwopointboundaryvalueproblemswiththebarycentricrationalinterpolationcollocationmethod
AT xiaopingzhang numericalsolutionforthirdordertwopointboundaryvalueproblemswiththebarycentricrationalinterpolationcollocationmethod
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