A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50198#.VDH4nFfHRK0 Author(s) Ademola M. Badmus 1 Affiliation(s) 1 Department of Mathematics, Nigerian Defence Academy, Kaduna, Nigeria . 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. KEYWORDS ...