A numerical scheme for solutions of stochastic advection-diffusion equations

Nguyen Tien Dung , Nguyen Anh Tra

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Tóm tắt

In this paper, finite difference schemes are proposed to approximate solutions of stochastic advection-diffusion equations. We used central-difference formula of third-order to approximate spatial derivatives. The stability, consistency and convergence of the scheme are analysed and established. A numerical result is also given to demonstrate the computational efficiency of the stochastic schemes.

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