University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 4 2 2013 05 01 Implicit One-step L-stable Generalized Hybrid Methods for the Numerical Solution of First Order Initial Value problems 201 212 5293 10.22052/ijmc.2013.5293 EN A. SHOKRI University of Maragheh, Iran A. A. SHOKRI Ahar Branch, Islamic Azad University, Iran Journal Article 2014 05 04 In this paper, we introduce the new class of implicit L-stable generalized hybrid methods for the numerical solution of first order initial value problems. We generalize the hybrid methods with utilize ynv directly in the right hand side of classical hybrid methods. The numerical experimentation showed that our method is considerably more efficient compared to well known methods used for the numerical solution of stiff first order initial value problems. https://ijmc.kashanu.ac.ir/article_5293_8028166ae8e7d9a63e3a80b18208adb4.pdf