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

• 作者: Ademola M. Badmus
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: UNIFORM Order Second Order Initial Value Problem IMPLICIT Block ALGORITHMS ZERO Stable
• 年，卷（期）: 2014,（4）
• 页码范围: 376-386
• 页数: 11页
• 分类号: O1

摘要

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.