Extrapolation of GLMs with IRKS Property to Solve the Ordinary Differential Equations  

作　　者：Ali J. Kadhim Annie Gorgey 

机构地区：[1]Mathematics Department, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Tanjong Malim, Perak, Malaysia

出　　处：《American Journal of Computational Mathematics》2019年第4期251-260,共10页美国计算数学期刊（英文）

摘　　要：The extrapolation technique has been proved to be very powerful in improving the performance of the approximate methods by large time whether engineering or scientific problems that are handled on computers. In this paper, we investigate the efficiency of extrapolation of explicit general linear methods with Inherent Runge-Kutta stability in solving the non-stiff problems. The numerical experiments are shown for Van der Pol and Brusselator test problems to determine the efficiency of the explicit general linear methods with extrapolation technique. The numerical results showed that method with extrapolation is efficient than method without extrapolation.The extrapolation technique has been proved to be very powerful in improving the performance of the approximate methods by large time whether engineering or scientific problems that are handled on computers. In this paper, we investigate the efficiency of extrapolation of explicit general linear methods with Inherent Runge-Kutta stability in solving the non-stiff problems. The numerical experiments are shown for Van der Pol and Brusselator test problems to determine the efficiency of the explicit general linear methods with extrapolation technique. The numerical results showed that method with extrapolation is efficient than method without extrapolation.

关 键 词：EXTRAPOLATION Technique General Linear METHODS Inherent RUNGE-KUTTA Stability EXPLICIT METHODS 

分 类 号：O17[理学—数学]