@article{(Open Science Index):https://publications.waset.org/pdf/9997268, title = {Solving SPDEs by a Least Squares Method}, author = {Hassan Manouzi}, country = {}, institution = {}, abstract = {We present in this paper a useful strategy to solve stochastic partial differential equations (SPDEs) involving stochastic coefficients. Using the Wick-product of higher order and the Wiener-Itˆo chaos expansion, the SPDEs is reformulated as a large system of deterministic partial differential equations. To reduce the computational complexity of this system, we shall use a decomposition-coordination method. To obtain the chaos coefficients in the corresponding deterministic equations, we use a least square formulation. Once this approximation is performed, the statistics of the numerical solution can be easily evaluated. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {8}, number = {1}, year = {2014}, pages = {71 - 74}, ee = {https://publications.waset.org/pdf/9997268}, url = {https://publications.waset.org/vol/85}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 85, 2014}, }