Chapter 4: Continuous numerical solutions of uncertain differential equations

Abstract

This chapter covers the fuzzy differential equations with some methodology to find and analyze the exact fuzzy number solution. To this end, the uniqueness and existence of the solution are also provided. The Laplace transformation method is explained as an analytical method to find the exact solution. Moreover, the concept of the continuous numerical solutions that approximate the exact solution, are explained functionally. For instance, the power series method is one effective method that covers the analytical approximate solution of the fuzzy differential equation. Another method, as a functional numerical method, is called the variational iteration ...

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