Stability Analysis of Implicit-Explicit Class for Solving ODEs and DDEs

Authors

Iman H. Ibrahim, Faculty of Women for Arts, Science, and Education, Ain Shams University, Cairo, Egypt.Follow
Fatma M. Yousry, Faculty of Women for Arts, Science, and Education, Ain Shams University, Cairo, Egypt.Follow

Author Country (or Countries)

Egypt.

Abstract

Implicit-Explicit schemes have been widely used, it reduces the computational work for solving differential equations which have both stiff and non-stiff parts . In this paper an implicit-explicit linear multistep method for solving ordinary and delay differential equations is introduced. In both cases we are going to study the stability of the method using two approaches and the stability regions will be ploted. Numerical tests are introduced.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100526

Recommended Citation

H. Ibrahim, Iman and M. Yousry, Fatma (2016) "Stability Analysis of Implicit-Explicit Class for Solving ODEs and DDEs," Applied Mathematics & Information Sciences: Vol. 10: Iss. 5, Article 26.
DOI: http://dx.doi.org/10.18576/amis/100526
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss5/26