An approximation of stochastic hyperbolic equations: case with Wiener process |
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| Authors: | Allaberen Ashyralyev Muzaffer Akat |
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| Institution: | 1. Department of Mathematics, Fatih University, , 34500 Istanbul, Turkey;2. ITTU, , Ashgabat, Turkmenistan;3. Graduate School of Business, Ozyegin University, , 34662 Istanbul, Turkey |
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| Abstract: | 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. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | difference schemes stochastic hyperbolic equation convergence estimates |
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