Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
In this paper coupled implicit initial-boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171292000887 |
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| _version_ | 1832546521600491520 |
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| author | Lucas Jódar |
| author_facet | Lucas Jódar |
| author_sort | Lucas Jódar |
| collection | DOAJ |
| description | In this paper coupled implicit initial-boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data. |
| format | Article |
| id | doaj-art-3bd35921caf4441a812d283803c3d197 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3bd35921caf4441a812d283803c3d1972025-02-03T06:48:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115466367210.1155/S0161171292000887Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equationsLucas Jódar0Departamento de Matemática Aplicada, Universidad Politécnica, P.O.Box 22.012, Valencia 46071, SpainIn this paper coupled implicit initial-boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.http://dx.doi.org/10.1155/S0161171292000887implicit coupled partial differential systemapproximate solutionerror boundPadé approximant. |
| spellingShingle | Lucas Jódar Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations International Journal of Mathematics and Mathematical Sciences implicit coupled partial differential system approximate solution error bound Padé approximant. |
| title | Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations |
| title_full | Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations |
| title_fullStr | Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations |
| title_full_unstemmed | Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations |
| title_short | Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations |
| title_sort | exact approximate solutions and error bounds for coupled implicit systems of partial differential equations |
| topic | implicit coupled partial differential system approximate solution error bound Padé approximant. |
| url | http://dx.doi.org/10.1155/S0161171292000887 |
| work_keys_str_mv | AT lucasjodar exactapproximatesolutionsanderrorboundsforcoupledimplicitsystemsofpartialdifferentialequations |