%0 Journal Article %T Numerical solution of nonlinear SPDEs using a multi-scale method %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Mohammadi Roozbahani, Mahmoud %A Aminikhah, Hossein %A Tahmasebi, Mahdieh %D 2018 %\ 04/01/2018 %V 6 %N 2 %P 157-175 %! Numerical solution of nonlinear SPDEs using a multi-scale method %K Multi-scale method‎ %K ‎Cubic B-splines‎ %K ‎Stochastic partial differential equations %R %X ‎In this paper we establish a new numerical method for solving a class of stochastic partial differential equations (SPDEs) based on B-splines wavelets‎. ‎The method combines implicit collocation with the multi-scale method‎. Using the multi-scale method‎, ‎SPDEs can be solved on a given subdomain with more accuracy and lower computational cost than the rest of the domain‎. ‎The stability and consistency of the method are provided‎. ‎Also numerical experiments illustrate the behavior of the proposed method‎. %U https://cmde.tabrizu.ac.ir/article_7203_fac381195a8ca2cb07a3e04222d53f24.pdf