Strong Convergence of the Split-Step θ-Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes
We develop a new split-step θ (SSθ) method for stochastic age-dependent capital system with random jump magnitudes. The main aim of this paper is to investigate the convergence of the SSθ method for a class of stochastic age-dependent capital system with random jump magnitudes. It is proved that the...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/791048 |
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| author | Jianguo Tan A. Rathinasamy Hongli Wang Yongfeng Guo |
| author_facet | Jianguo Tan A. Rathinasamy Hongli Wang Yongfeng Guo |
| author_sort | Jianguo Tan |
| collection | DOAJ |
| description | We develop a new split-step θ (SSθ) method for stochastic age-dependent capital system with random jump magnitudes. The main aim of this paper is to investigate the convergence of the SSθ method for a class of stochastic age-dependent capital system with random jump magnitudes. It is proved that the proposed method is convergent with strong order 1/2 under given conditions. Finally, an example is simulated to verify the results obtained from theory. |
| format | Article |
| id | doaj-art-137aac2195da4e2c87460dea3daf3df7 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-137aac2195da4e2c87460dea3daf3df72025-08-20T03:17:02ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/791048791048Strong Convergence of the Split-Step θ-Method for Stochastic Age-Dependent Capital System with Random Jump MagnitudesJianguo Tan0A. Rathinasamy1Hongli Wang2Yongfeng Guo3Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaDepartment of Mathematics, PSG College of Technology, Coimbatore 641004, IndiaDepartment of Mechanics, Tianjin University, Tianjin 300072, ChinaDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaWe develop a new split-step θ (SSθ) method for stochastic age-dependent capital system with random jump magnitudes. The main aim of this paper is to investigate the convergence of the SSθ method for a class of stochastic age-dependent capital system with random jump magnitudes. It is proved that the proposed method is convergent with strong order 1/2 under given conditions. Finally, an example is simulated to verify the results obtained from theory.http://dx.doi.org/10.1155/2014/791048 |
| spellingShingle | Jianguo Tan A. Rathinasamy Hongli Wang Yongfeng Guo Strong Convergence of the Split-Step θ-Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes Abstract and Applied Analysis |
| title | Strong Convergence of the Split-Step θ-Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes |
| title_full | Strong Convergence of the Split-Step θ-Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes |
| title_fullStr | Strong Convergence of the Split-Step θ-Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes |
| title_full_unstemmed | Strong Convergence of the Split-Step θ-Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes |
| title_short | Strong Convergence of the Split-Step θ-Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes |
| title_sort | strong convergence of the split step θ method for stochastic age dependent capital system with random jump magnitudes |
| url | http://dx.doi.org/10.1155/2014/791048 |
| work_keys_str_mv | AT jianguotan strongconvergenceofthesplitstepthmethodforstochasticagedependentcapitalsystemwithrandomjumpmagnitudes AT arathinasamy strongconvergenceofthesplitstepthmethodforstochasticagedependentcapitalsystemwithrandomjumpmagnitudes AT hongliwang strongconvergenceofthesplitstepthmethodforstochasticagedependentcapitalsystemwithrandomjumpmagnitudes AT yongfengguo strongconvergenceofthesplitstepthmethodforstochasticagedependentcapitalsystemwithrandomjumpmagnitudes |