Noise Reduction on Numerical Solutions of Partial Differential Equations using Fuzzy Transform

Abstract

Fuzzy Transform (F-transform) has been introduced as an approximation method which encompasses both classical transforms as well as approximation methods studied in fuzzy modelling and fuzzy control. It has been proved that, under some conditions, Ftransform can remove a periodical noise and it can significantly reduce random noise. In this work we apply the F-transform methodology on the study of numerical solutions of partial differential equations with noisy initial conditions.