Runge - Kutta Methods for Fuzzy Differential Equations

摘要

Fuzzy Differential Equations generalize the concept of crisp Initial Value Problems. In this article, the numerical solution of these equations is dealt with. The notion of convergence of a numerical method is defined and a category of problems which is more general than the one already found in Numerical Analysis literature is solved. Efficient s-stage Runge -Kutta methods are used for the numerical solution of these problems and the convergence of the methods is proved. Several examples comparing these methods with the previously developed Euler method are displayed.