TITLE:
A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations
AUTHORS:
Ademola M. Badmus
KEYWORDS:
Uniform Order, Second Order Initial Value Problem, Implicit Block Algorithms, Zero Stable
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.4 No.4,
September
29,
2014
ABSTRACT: This paper focuses on derivation of a uniform order 8 implicit block method for the direct solution of general second order differential equations through continuous coefficients of Linear Multi-step Method (LMM). The continuous formulation and its first derivatives were evaluated at some selected grid and off grid points to obtain our proposed method. The superiority of the method over the existing methods is established numerically.