TY - JOUR ID - 7203 TI - Numerical solution of nonlinear SPDEs using a multi-scale method JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Mohammadi Roozbahani, Mahmoud AU - Aminikhah, Hossein AU - Tahmasebi, Mahdieh AD - Faculty of Mathematical Sciences, University of Guilan, P. O. Box 19141-41938, Rasht, Iran AD - Faculty of Mathematical Sciences, University of Guilan, P. O. Box 19141–41938, Rasht, Iran AD - Faculty of Mathematical Sciences, Tarbiat Modares University, P. O. Box 14115-134, Tehran, Iran Y1 - 2018 PY - 2018 VL - 6 IS - 2 SP - 157 EP - 175 KW - Multi-scale method‎ KW - ‎Cubic B-splines‎ KW - ‎Stochastic partial differential equations DO - N2 - ‎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. UR - https://cmde.tabrizu.ac.ir/article_7203.html L1 - https://cmde.tabrizu.ac.ir/article_7203_fac381195a8ca2cb07a3e04222d53f24.pdf ER -