The New High Approximation of Stiff Systems of First Order IVPs Arising from Chemical Reactions by k-step L-stable Hybrid Methods

نویسندگان

1 Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh, Iran

2 Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh, Iran

3 Department of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh, Iran

doi
10.22052/ijmc.2018.111016.1335
چکیده

In this paper, we present a new class of hybrid methods for the numerical solution of first order ordinary differential equations (ODEs). The accuracy and stability properties of the new methods are investigated. In the final section, we apply new hybrid methods to solve two stiff chemical problems such as Roberston problem.