Chapter 5: Discrete numerical solutions of uncertain differential equations

Abstract

In this chapter, we are going to discuss the fuzzy Euler's method and its modified version and other finite difference methods like fuzzy two steps and three steps method and fuzzy predictor and corrector methods, including Taylor method to solve the problem numerically. Since the definition of difference has two cases, then the derivative of an uncertain function is defined in two cases as well. Now considering the order of differentiability or differential equations with high order, the cases for the uncertain differential equations have several types.

In each of several cases, we should discuss the details for convergence theorems and consistence and ...

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