Construction of extended exponential general linear methods 524 for solving semi-linear problems

Abstract

This paper introduces a new approach for constructing higher order of EEGLM which have become very popular and novel due to its enviable stability properties. This paper also shows that methods 524 is stable with its characteristics root lies in a unit circle. Numerical experiments indicate that Extended Exponential General Linear Methods  perform better than existing Methods.

Key words: General Linear Methods, Exponential methods.