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Numerical Solution of Stochastic Hyperbolic Equations
Author(s) -
Necmettin Ağgez,
Maral Ashyralyyewa
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/824819
Subject(s) - mathematics , convergence (economics) , scheme (mathematics) , finite difference scheme , hyperbolic partial differential equation , boundary value problem , mathematical analysis , ftcs scheme , finite difference method , numerical analysis , rate of convergence , partial differential equation , differential equation , differential algebraic equation , ordinary differential equation , channel (broadcasting) , engineering , electrical engineering , economics , economic growth
A two-step difference scheme for the numerical solution of the initial-boundary value problem for stochastic hyperbolic equations is presented. The convergence estimate for the solution of the difference scheme is established. In applications, the convergence estimates for the solution of the difference scheme are obtained for different initialboundary value problems. The theoretical statements for the solution of this difference scheme are supported by numerical examples.

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