Approximate solution of nonlinear hyperbolic equations with homogeneous jump conditions
We present the error analysis of class of second order nonlinear hyperbolic interface problem where the spatial and time discretizations are based on finite element method and linearized backward difference scheme respectively. Both semi discrete and fully discrete schemes are analyzed with the...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2019-12-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1175 |
| _version_ | 1797769209914064896 |
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| author | Matthew Olayiwola Adewole |
| author_facet | Matthew Olayiwola Adewole |
| author_sort | Matthew Olayiwola Adewole |
| collection | DOAJ |
| description |
We present the error analysis of class of second order nonlinear hyperbolic interface problem where the spatial and time discretizations are based on finite element method and linearized backward difference scheme respectively.
Both semi discrete and fully discrete schemes are analyzed with the assumption that the interface is arbitrary but smooth.
Almost optimal convergence rate in \(H^1(\Omega)\)-norm is obtained.
Examples are given to support the theoretical result.
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| first_indexed | 2024-03-12T21:05:36Z |
| format | Article |
| id | doaj.art-049f10c2dce64fcf9fa8c70311beddf3 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-03-12T21:05:36Z |
| publishDate | 2019-12-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-049f10c2dce64fcf9fa8c70311beddf32023-07-30T12:30:21ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2019-12-01482Approximate solution of nonlinear hyperbolic equations with homogeneous jump conditionsMatthew Olayiwola Adewole0Mountain Top University, Prayer City, Ogun State, Nigeria We present the error analysis of class of second order nonlinear hyperbolic interface problem where the spatial and time discretizations are based on finite element method and linearized backward difference scheme respectively. Both semi discrete and fully discrete schemes are analyzed with the assumption that the interface is arbitrary but smooth. Almost optimal convergence rate in \(H^1(\Omega)\)-norm is obtained. Examples are given to support the theoretical result. https://ictp.acad.ro/jnaat/journal/article/view/1175Almost optimalnonlinear hyperbolic equationlinearized backward differencepartial differential equations |
| spellingShingle | Matthew Olayiwola Adewole Approximate solution of nonlinear hyperbolic equations with homogeneous jump conditions Journal of Numerical Analysis and Approximation Theory Almost optimal nonlinear hyperbolic equation linearized backward difference partial differential equations |
| title | Approximate solution of nonlinear hyperbolic equations with homogeneous jump conditions |
| title_full | Approximate solution of nonlinear hyperbolic equations with homogeneous jump conditions |
| title_fullStr | Approximate solution of nonlinear hyperbolic equations with homogeneous jump conditions |
| title_full_unstemmed | Approximate solution of nonlinear hyperbolic equations with homogeneous jump conditions |
| title_short | Approximate solution of nonlinear hyperbolic equations with homogeneous jump conditions |
| title_sort | approximate solution of nonlinear hyperbolic equations with homogeneous jump conditions |
| topic | Almost optimal nonlinear hyperbolic equation linearized backward difference partial differential equations |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1175 |
| work_keys_str_mv | AT matthewolayiwolaadewole approximatesolutionofnonlinearhyperbolicequationswithhomogeneousjumpconditions |