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An approximation of stochastic hyperbolic equations: case with Wiener process
- Source :
- Mathematical Methods in the Applied Sciences. 36:1095-1106
- Publication Year :
- 2013
- Publisher :
- Wiley, 2013.
-
Abstract
- Due to copyright restrictions, the access to the full text of this article is only available via subscription. In the present paper, the two-step difference scheme for the Cauchy problem for the stochastic hyperbolic equation is presented. The convergence estimate for the solution of the difference scheme is established. In applications, the convergence estimates for the solution of difference schemes for the numerical solution of four problems for hyperbolic equations are obtained. The theoretical statements for the solution of this difference scheme are supported by the results of the numerical experiment.
- Subjects :
- Difference schemes
General Mathematics
Mathematical analysis
Hyperbolic function
MathematicsofComputing_NUMERICALANALYSIS
General Engineering
Stochastic hyperbolic equation
symbols.namesake
Stochastic differential equation
Wiener process
Scheme (mathematics)
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Convergence (routing)
symbols
Initial value problem
Hyperbolic partial differential equation
Convergence estimates
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 36
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi.dedup.....fce8ea3bb6ab3f516cad7871e5f5d26d