Fuzzy Transform to Approximate Solution of Boundary Value Problems via Optimal Coefficients

In this study, we propose a fuzzy-based approach aiming at finding numerical solutions to some classical problems. We use the technique of fuzzy transform to solve a second-order ordinary differential equation with boundary conditions. To determine the optimal coefficients in expansion of a function, we minimize the integral squared error in 2-norm. Some examples are presented to illustrate the applicability of the method.