Abstract: In this paper, a class of extended exponential general linear methods of second stage seventh order is developed. The resulting integrator is based on the variation of constant formula for initial value problems (IVPs) in Ordinary differential equations (ODEs). Stability analysis indicate that the scheme is zero stable as the parasitic root lies in the unit disk. Lastly, numerical experiment shows that the method is accurate, ecient and compete favourably with Butcher and Wright and Calvo and Palencia methods for solving problems for which exponential general linear method is appropriate.
Keywords: Exponential methods,General Linear Methods, Order Conditions, Stability.
How to cite this article:
Bazuaye Frank E and Ajibola S. O, A Two-Step Seventh-Order Extended Exponential General Linear Methods for Solving IVPs in ODEs, International Journal of Advances in Mathematics, Volume 2017, Number 6, Pages 51-59, 2017.