Numerical Approach For Solving Sti Systems Using Gr¨obner Basis

In this article, we state a new symbolic-numeric approach to solve and analyze a system of di erential equations using Gr¨obner basis. The new approach provides the solution in the form of a rapidly convergent series with easily computable components using symbolic computation methods. The proposed technique is applied to several test problems to illustrate the accuracy and e cientcy of the method.