Studying Convergence and Stability of Fuzzy DifferentialPredictor Three-step and Nyström Method Equation with

Differential equations have many applications in different branches of sciences and engineering and play essential role in different fields such as mathematics, physics, statistics, engineering and social sciences. We want to solve differential equations with fuzzy method. Many scientific and engineering problems need to solve fuzzy differential equation (FDE) and each one of them holds true in initial fuzzy conditions. In this paper, some numerical methods are studied to solve the first order initial value problem with predictor three-step method based on Adams-Bashforth Predictor Method and Adams- Moulton corrector method and Nyström Method.The enough conditions for stability and convergence of the mentioned algorithms have been mentioned and studied by two examples and by drawing the diagram with MATLAB software. Results of this paper show that the predictor three-step method has higher convergence than the Nyström Method

Keywords:

fuzzy differential equation solving , predictor method , Nyström Method , convergence and stability