Approximations of Numerical Method for Neutral Stochastic Functional Differential Equations with Markovian Switching

Joint Authors

Jiang, Feng
Yang, Hua

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-32, 32 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-10-30

Country of Publication

Egypt

No. of Pages

32

Main Subjects

Mathematics

Abstract EN

Stochastic systems with Markovian switching have been used in a variety of application areas, including biology, epidemiology, mechanics, economics, and finance.

In this paper, we study the Euler-Maruyama (EM) method for neutral stochastic functional differential equations with Markovian switching.

The main aim is to show that the numerical solutions will converge to the true solutions.

Moreover, we obtain the convergence order of the approximate solutions.

American Psychological Association (APA)

Yang, Hua& Jiang, Feng. 2012. Approximations of Numerical Method for Neutral Stochastic Functional Differential Equations with Markovian Switching. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-32.
https://search.emarefa.net/detail/BIM-993539

Modern Language Association (MLA)

Yang, Hua& Jiang, Feng. Approximations of Numerical Method for Neutral Stochastic Functional Differential Equations with Markovian Switching. Journal of Applied Mathematics No. 2012 (2012), pp.1-32.
https://search.emarefa.net/detail/BIM-993539

American Medical Association (AMA)

Yang, Hua& Jiang, Feng. Approximations of Numerical Method for Neutral Stochastic Functional Differential Equations with Markovian Switching. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-32.
https://search.emarefa.net/detail/BIM-993539

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993539