University of Tabriz Computational Methods for Differential Equations 2345-3982 8 2 2020 04 01 Solving Stiff Systems by using Symbolic - Numerical Method 282 293 10485 10.22034/cmde.2020.28834.1401 EN Malihe Baigom Mirkarim School of Mathematics and Computer Science, Damghan University, Damghan, Iran. Abdolali Basiri School of Mathematics and Computer Science, Damghan University, Damghan, Iran. Sajjad Rahmany School of Mathematics and Computer Science, Damghan University, Damghan, Iran. Journal Article 2018 08 13 In this paper, an efficient symbolic-numerical procedure based on the power series method is presented for solving a system of differential equations. The basic idea is to substitute power series into the differential equations and to find a polynomial system of coefficients, where a powerful symbolic computation technique (i.e., Grobner basis) is used to solve the system. In fact, the proposed method is an excellent bridge between symbolic and numeric computation and specially, enables us to find the solution of linear and non-linear stiff systems. Numerical experiments were performed to justify our new approach. https://cmde.tabrizu.ac.ir/article_10485_c06f17502000e4a83923c3c6055dc3a4.pdf