An Approximation of Semigroups Method for Stochastic Parabolic Equations
A single-step difference scheme for the numerical solution of the nonlocal-boundary value problem for stochastic parabolic equations is presented. The convergence estimate for the solution of the difference scheme is established. In application, the convergence estimates for the solution of the diff...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/684248 |
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| _version_ | 1850106399065899008 |
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| author | Allaberen Ashyralyev Mehmet Emin San |
| author_facet | Allaberen Ashyralyev Mehmet Emin San |
| author_sort | Allaberen Ashyralyev |
| collection | DOAJ |
| description | A single-step difference scheme for the numerical solution of the nonlocal-boundary
value problem for stochastic parabolic equations is presented. The convergence estimate for the solution
of the difference scheme is established. In application, the convergence estimates for the solution of the
difference scheme are obtained for two nonlocal-boundary value problems. The theoretical statements
for the solution of this difference scheme are supported by numerical examples. |
| format | Article |
| id | doaj-art-2ecd549f0a514038a4a6c5e32affc6c6 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2ecd549f0a514038a4a6c5e32affc6c62025-08-20T02:38:50ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/684248684248An Approximation of Semigroups Method for Stochastic Parabolic EquationsAllaberen Ashyralyev0Mehmet Emin San1Department of Mathematics, Fatih University, Buyukcekmece, 34500 Istanbul, TurkeyCertified Dental Supply LLC 43 River Road, Nutley, NJ 07031, USAA single-step difference scheme for the numerical solution of the nonlocal-boundary value problem for stochastic parabolic equations is presented. The convergence estimate for the solution of the difference scheme is established. In application, the convergence estimates for the solution of the difference scheme are obtained for two nonlocal-boundary value problems. The theoretical statements for the solution of this difference scheme are supported by numerical examples.http://dx.doi.org/10.1155/2012/684248 |
| spellingShingle | Allaberen Ashyralyev Mehmet Emin San An Approximation of Semigroups Method for Stochastic Parabolic Equations Abstract and Applied Analysis |
| title | An Approximation of Semigroups Method for Stochastic Parabolic Equations |
| title_full | An Approximation of Semigroups Method for Stochastic Parabolic Equations |
| title_fullStr | An Approximation of Semigroups Method for Stochastic Parabolic Equations |
| title_full_unstemmed | An Approximation of Semigroups Method for Stochastic Parabolic Equations |
| title_short | An Approximation of Semigroups Method for Stochastic Parabolic Equations |
| title_sort | approximation of semigroups method for stochastic parabolic equations |
| url | http://dx.doi.org/10.1155/2012/684248 |
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