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Abstract and Applied Analysis
Volume 2014, Article ID 791048, 14 pages
http://dx.doi.org/10.1155/2014/791048
Research Article

Strong Convergence of the Split-Step -Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes

1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
2Department of Mathematics, PSG College of Technology, Coimbatore 641004, India
3Department of Mechanics, Tianjin University, Tianjin 300072, China

Received 26 February 2014; Accepted 20 March 2014; Published 15 April 2014

Academic Editor: Jifeng Chu

Copyright © 2014 Jianguo Tan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We develop a new split-step (SS ) method for stochastic age-dependent capital system with random jump magnitudes. The main aim of this paper is to investigate the convergence of the SS 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.