Barycentric Rational Collocation Method for Burgers’ Equation
In this article, barycentric rational collocation method is introduced to solve Burgers’ equation. The algebraic equations of the barycentric rational collocation method are presented. Numerical analysis and error estimates are established. With the help of the barycentric rational interpolation the...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2177998 |
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| _version_ | 1849691627747016704 |
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| author | Qingli Zhao Ruiwen Wang Zhaoqing Wang Xiaoping Zhang |
| author_facet | Qingli Zhao Ruiwen Wang Zhaoqing Wang Xiaoping Zhang |
| author_sort | Qingli Zhao |
| collection | DOAJ |
| description | In this article, barycentric rational collocation method is introduced to solve Burgers’ equation. The algebraic equations of the barycentric rational collocation method are presented. Numerical analysis and error estimates are established. With the help of the barycentric rational interpolation theory, the convergence rates of the barycentric rational collocation method for Burgers’ equation are proved. Numerical experiments are carried out to validate the convergence rates and show the efficiency. |
| format | Article |
| id | doaj-art-e18eb7a579f04f70b351d57e23f1ef52 |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e18eb7a579f04f70b351d57e23f1ef522025-08-20T03:20:58ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2177998Barycentric Rational Collocation Method for Burgers’ EquationQingli Zhao0Ruiwen Wang1Zhaoqing Wang2Xiaoping Zhang3School of ScienceCMA Earth System Modeling and Prediction CentreSchool of ScienceSchool of ScienceIn this article, barycentric rational collocation method is introduced to solve Burgers’ equation. The algebraic equations of the barycentric rational collocation method are presented. Numerical analysis and error estimates are established. With the help of the barycentric rational interpolation theory, the convergence rates of the barycentric rational collocation method for Burgers’ equation are proved. Numerical experiments are carried out to validate the convergence rates and show the efficiency.http://dx.doi.org/10.1155/2022/2177998 |
| spellingShingle | Qingli Zhao Ruiwen Wang Zhaoqing Wang Xiaoping Zhang Barycentric Rational Collocation Method for Burgers’ Equation Journal of Mathematics |
| title | Barycentric Rational Collocation Method for Burgers’ Equation |
| title_full | Barycentric Rational Collocation Method for Burgers’ Equation |
| title_fullStr | Barycentric Rational Collocation Method for Burgers’ Equation |
| title_full_unstemmed | Barycentric Rational Collocation Method for Burgers’ Equation |
| title_short | Barycentric Rational Collocation Method for Burgers’ Equation |
| title_sort | barycentric rational collocation method for burgers equation |
| url | http://dx.doi.org/10.1155/2022/2177998 |
| work_keys_str_mv | AT qinglizhao barycentricrationalcollocationmethodforburgersequation AT ruiwenwang barycentricrationalcollocationmethodforburgersequation AT zhaoqingwang barycentricrationalcollocationmethodforburgersequation AT xiaopingzhang barycentricrationalcollocationmethodforburgersequation |