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Asymptotical mean-square stability of linear θ-methods for stochastic pantograph differential equations: variable stepsize and transformation approach.
- Source :
-
International Journal of Computer Mathematics . Apr2022, Vol. 99 Issue 4, p759-770. 12p. - Publication Year :
- 2022
-
Abstract
- The paper deals with the asymptotical mean-square stability of the linear θ-methods under variable stepsize and transformation approach for stochastic pantograph differential equations. A limiting equation for the analysis of numerical stability is introduced by Kronecker products. Under the condition which guarantee the stability of exact solutions, the optimal stability region of the linear θ-methods under variable stepsize is given by using the limiting equation, i.e. θ ∈ (1 2 , 1 ] , which is the same to the deterministic problems. Moreover, the linear θ-methods under the transformation approach are also considered and the result of the stability is improved for θ = 1 2 . Finally, numerical examples are given to illustrate the asymptotical mean-square stability under variable stepsize and transformation approach. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NUMERICAL analysis
*KRONECKER products
Subjects
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 99
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 155893225
- Full Text :
- https://doi.org/10.1080/00207160.2021.1932841