On Bernoulli and Hermite Polynomial Collocation Methods to solve Fuzzy Volterra integral equations of the second kind

Abstract In this work we introduced an efficient method based on Bernoulli and Hermite polynomial collocation methods for solving fuzzy Volterra integral equations of the second kind. Two theoretical aspects of the methods, i.e. existence and uniqueness of solution were investigated. In order to explore the efficiency of the method, convergence and error analysis are discussed in detail. Finally, accuracy and applicability of the proposed methods are carried out along with comparisons using a few examples. The suggested method can be used as an alternative for previous methods.