IJPAM: Volume 77, No. 5 (2012)
A STOCHASTIC ADVECTION-DIFFUSION
Department of Mathematics
Al Madinah, KSA
Abstract. This paper aims with numerical comparison of the stochastic Euler-Maruyama (EM) and stochastic Runge-Kutta (RK) methods. We numerically solve a two dimensional advection-diffusion equation with additive random excitations by using the method of lines. By discretizing the time and the space of the associated stochastic differential system, we present a direct comparison of the advection and the diffusibility behaviors between the schemes above.
Received: October 31, 2011
AMS Subject Classification: 35R60, 60H15, 65L06, 35K57
Key Words and Phrases: stochastic schemes, advection-diffusion, stochastic partial differential equations, method of lines, Euler-Maruyama (EM), stochastic Runge-Kutta (RK)
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395