2–stage Stochastic Runge–Kutta for Stochastic Delay Differential Equations
This paper proposes a newly developed one-step derivative-free method, that is 2-stage stochastic Runge-Kutta (SRK2) to approximate the solution of stochastic delay differential equations (SDDEs) with a constant time lag, r > 0. General formulation of stochastic Runge-Kutta for SDDEs is introduce...
| Main Authors: | , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2015
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/9227/ http://umpir.ump.edu.my/id/eprint/9227/1/2%E2%80%93stage%20stochastic%20Runge%E2%80%93Kutta%20for%20stochastic%20delay%20differential%20equations.pdf |
| _version_ | 1848818437949751296 |
|---|---|
| author | Norhayati, Rosli Arifah, Bahar S. H., Yeak Rahimah, Jusoh |
| author_facet | Norhayati, Rosli Arifah, Bahar S. H., Yeak Rahimah, Jusoh |
| author_sort | Norhayati, Rosli |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | This paper proposes a newly developed one-step derivative-free method, that is 2-stage stochastic Runge-Kutta (SRK2) to approximate the solution of stochastic delay differential equations (SDDEs) with a constant time lag, r > 0. General formulation of stochastic Runge-Kutta for SDDEs is introduced and Stratonovich Taylor series expansion for numerical solution of SRK2 is presented. Local truncation error of SRK2 is measured by comparing the Stratonovich Taylor expansion of the exact solution with the computed solution. Numerical experiment is performed to assure the validity of the method in simulating the strong solution of SDDEs. |
| first_indexed | 2025-11-15T01:37:39Z |
| format | Conference or Workshop Item |
| id | ump-9227 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T01:37:39Z |
| publishDate | 2015 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-92272018-05-23T03:12:13Z http://umpir.ump.edu.my/id/eprint/9227/ 2–stage Stochastic Runge–Kutta for Stochastic Delay Differential Equations Norhayati, Rosli Arifah, Bahar S. H., Yeak Rahimah, Jusoh Q Science (General) This paper proposes a newly developed one-step derivative-free method, that is 2-stage stochastic Runge-Kutta (SRK2) to approximate the solution of stochastic delay differential equations (SDDEs) with a constant time lag, r > 0. General formulation of stochastic Runge-Kutta for SDDEs is introduced and Stratonovich Taylor series expansion for numerical solution of SRK2 is presented. Local truncation error of SRK2 is measured by comparing the Stratonovich Taylor expansion of the exact solution with the computed solution. Numerical experiment is performed to assure the validity of the method in simulating the strong solution of SDDEs. AIP Publishing 2015 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/9227/1/2%E2%80%93stage%20stochastic%20Runge%E2%80%93Kutta%20for%20stochastic%20delay%20differential%20equations.pdf Norhayati, Rosli and Arifah, Bahar and S. H., Yeak and Rahimah, Jusoh (2015) 2–stage Stochastic Runge–Kutta for Stochastic Delay Differential Equations. In: AIP Conf. Proc. : International Conference on Mathematics, Engineering and Industrial Applications (ICoMEIA 2014) , 28-30 May 2015 , Penang, Malaysia. pp. 1-9., 1660 (050006). ISBN 978-0-7354-1304-7 (Published) http://dx.doi.org/10.1063/1.4915639 |
| spellingShingle | Q Science (General) Norhayati, Rosli Arifah, Bahar S. H., Yeak Rahimah, Jusoh 2–stage Stochastic Runge–Kutta for Stochastic Delay Differential Equations |
| title | 2–stage Stochastic Runge–Kutta for Stochastic Delay Differential Equations |
| title_full | 2–stage Stochastic Runge–Kutta for Stochastic Delay Differential Equations |
| title_fullStr | 2–stage Stochastic Runge–Kutta for Stochastic Delay Differential Equations |
| title_full_unstemmed | 2–stage Stochastic Runge–Kutta for Stochastic Delay Differential Equations |
| title_short | 2–stage Stochastic Runge–Kutta for Stochastic Delay Differential Equations |
| title_sort | 2–stage stochastic runge–kutta for stochastic delay differential equations |
| topic | Q Science (General) |
| url | http://umpir.ump.edu.my/id/eprint/9227/ http://umpir.ump.edu.my/id/eprint/9227/ http://umpir.ump.edu.my/id/eprint/9227/1/2%E2%80%93stage%20stochastic%20Runge%E2%80%93Kutta%20for%20stochastic%20delay%20differential%20equations.pdf |