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Bulletin of the Iranian Mathematical Society
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APPROXIMATION OF STOCHASTIC PARABOLIC DIFFERENTIAL EQUATIONS WITH TWO DIFFERENT FINITE DIFFERENCE SCHEMES

Article 5, Volume 37, No. 2, July 2011, Page 61-83  XML PDF (174 K)
Document Type: Other
Authors
A. SOHEILI ; M. NIASAR; M. AREZOOMANDAN
Abstract
We focus on the use of two stable and accurate explicit
finite difference schemes in order to approximate the solution of
stochastic partial differential equations of It¨o type, in particular,
parabolic equations. The main properties of these deterministic
difference methods, i.e., convergence, consistency, and stability, are
separately developed for the stochastic cases.
Keywords
Stochastic partial differential equations; finite difference methods; Saul’yev methods; convergence; stability; Wiener process
Statistics
Article View: 28
PDF Download: 49
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