A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam
A boundary value problem is posed for an integro-differential beam equation. An approximate solution is found using the Galerkin method and the Jacobi nonlinear iteration process. A theorem on the algorithm error is proved.
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2009/818269 |
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| _version_ | 1832565826017820672 |
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| author | Jemal Peradze |
| author_facet | Jemal Peradze |
| author_sort | Jemal Peradze |
| collection | DOAJ |
| description | A boundary value problem is posed for an integro-differential beam equation. An approximate solution is found using the Galerkin method and the Jacobi nonlinear iteration process. A theorem on the algorithm error is proved. |
| format | Article |
| id | doaj-art-f1d2ed5d75c842509186af7580e62e31 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f1d2ed5d75c842509186af7580e62e312025-02-03T01:06:43ZengWileyJournal of Applied Mathematics1110-757X1687-00422009-01-01200910.1155/2009/818269818269A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static BeamJemal Peradze0Faculty of Exact and Natural Sciences, I. Javakhishvili Tbilisi State University, 2 University St., 0143 Tbilisi, GeorgiaA boundary value problem is posed for an integro-differential beam equation. An approximate solution is found using the Galerkin method and the Jacobi nonlinear iteration process. A theorem on the algorithm error is proved.http://dx.doi.org/10.1155/2009/818269 |
| spellingShingle | Jemal Peradze A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam Journal of Applied Mathematics |
| title | A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam |
| title_full | A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam |
| title_fullStr | A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam |
| title_full_unstemmed | A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam |
| title_short | A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam |
| title_sort | numerical algorithm for a kirchhoff type nonlinear static beam |
| url | http://dx.doi.org/10.1155/2009/818269 |
| work_keys_str_mv | AT jemalperadze anumericalalgorithmforakirchhofftypenonlinearstaticbeam AT jemalperadze numericalalgorithmforakirchhofftypenonlinearstaticbeam |