TITLE:
Symmetric Hybrid Linear Multistep Method for General Third Order Differential Equations
AUTHORS:
Friday Oghenerukevwe Obarhua, Sunday Jacob Kayode
KEYWORDS:
Symmetric, Hybrid Method, Exponential Function, Interpolation, Collocation
JOURNAL NAME:
Open Access Library Journal,
Vol.3 No.4,
April
18,
2016
ABSTRACT: A symmetric hybrid linear multistep method for direct solution of general
third order ordinary differential equations is considered in this paper. The
method is developed by interpolation and collocation approach using a
combination of power series and exponential function as basis function. The
consistency, stability, order and error constant of the method were determined.
The results showed that the method is consistent, zero stable and of order five
with low error constant. The accuracy compared favorably over existing methods
with higher order of accuracy.