American Journal of Computational Mathematics

Volume 4, Issue 4 (September 2014)

ISSN Print: 2161-1203   ISSN Online: 2161-1211

Google-based Impact Factor: 0.42  Citations  

A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations

HTML  Download Download as PDF (Size: 2531KB)  PP. 376-386  
DOI: 10.4236/ajcm.2014.44032    3,735 Downloads   4,921 Views  Citations
Author(s)

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.

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Badmus, A. (2014) A New Eighth Order Implicit Block Algorithms for the Direct Solution of Second Order Ordinary Differential Equations. American Journal of Computational Mathematics, 4, 376-386. doi: 10.4236/ajcm.2014.44032.

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