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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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6698615 |
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| _version_ | 1832546997245050880 |
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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 |