Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation
Nonlinear heat equation solved by the barycentric rational collocation method (BRCM) is presented. Direct linearization method and Newton linearization method are presented to transform the nonlinear heat conduction equation into linear equations. The matrix form of nonlinear heat conduction equatio...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/8998193 |
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| _version_ | 1832554661354143744 |
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| author | Jin Li |
| author_facet | Jin Li |
| author_sort | Jin Li |
| collection | DOAJ |
| description | Nonlinear heat equation solved by the barycentric rational collocation method (BRCM) is presented. Direct linearization method and Newton linearization method are presented to transform the nonlinear heat conduction equation into linear equations. The matrix form of nonlinear heat conduction equation is also obtained. Several numerical examples are provided to valid our schemes. |
| format | Article |
| id | doaj-art-bd9b352595df4564beffe0f7c5ff6076 |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-bd9b352595df4564beffe0f7c5ff60762025-02-03T05:51:01ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/8998193Barycentric Rational Collocation Method for Nonlinear Heat Conduction EquationJin Li0School of ScienceNonlinear heat equation solved by the barycentric rational collocation method (BRCM) is presented. Direct linearization method and Newton linearization method are presented to transform the nonlinear heat conduction equation into linear equations. The matrix form of nonlinear heat conduction equation is also obtained. Several numerical examples are provided to valid our schemes.http://dx.doi.org/10.1155/2022/8998193 |
| spellingShingle | Jin Li Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation Journal of Applied Mathematics |
| title | Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation |
| title_full | Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation |
| title_fullStr | Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation |
| title_full_unstemmed | Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation |
| title_short | Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation |
| title_sort | barycentric rational collocation method for nonlinear heat conduction equation |
| url | http://dx.doi.org/10.1155/2022/8998193 |
| work_keys_str_mv | AT jinli barycentricrationalcollocationmethodfornonlinearheatconductionequation |