On Extended Exponential General Linear Methods PSQ with S>Q

Abstract

This paper is concerned with the construction and Numerical Analysis of Extended Exponential General Linear Methods. These methods, in contrast to other methods in literatures, consider methods with the step greater than the stage order (S>Q).Numerical experiments in this study, indicate that Extended Exponential General Linear Methods perform better than existing Methods.

Keywords: General Linear Methods, Exponential methods, Order conditions