Reaction-diffusion problems with Random parameters using the generalized stochastic finite difference method

• Autorzy: Kamiński M.
• Języki publikacji: EN

Abstrakty

EN

The main idea here is to demonstrate the new stochastic discrete computational approach consisting of the generalized stochastic perturbation technique based on the Taylor expansions of the random variables and, at the same time, classical Finite Difference Method on the regular grids. As it is documented by the computational illustrations, it is possible to determine using this approach also higher probabilistic moments and to provide full hybrid analytical-discrete analysis for any random dispersion of input variables unlike in the second order second moment technique worked out before. A numerical algorithm is implemented here using the straightforward partial differentiation of the reaction-diffusion equation with respect to the random input quantity; all symbolic computations of probabilistic moments and characteristics are completed by the computer algebra system MAPLE.

Słowa kluczowe

EN

reaction-diffusion problem; computer algebra system; stochastic finite difference method; generalized stochastic perturbation technique

PL

reakcja-dyfuzja; system algebry komputerowej; stochastyczna metoda elementów skończonych; uogólniona metoda perturbacji stochastycznej

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Journal of Applied Computer Science
• Rocznik: 2011
• Tom: Vol. 19, nr 2
• Strony: 31--45
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Kamiński M.

• Technical University of Łódź, Faculty of Civil Engineering, Architecture and Environmental Engineering, Al. Politechniki 6, 90-924 Łódź, Poland,

Bibliografia

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