A New Block-Predictor Corrector Algorithm for the Solution of y’’’=f(x, y, y’, y’’)

• 作者: Adam M. Alkali Adetola O. Adesanya Mfon O. Udo
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: COLLECTION INTERPOLATION Power Series APPROXIMANT Linear MULTISTEP Continuous COEFFICIENT Block Method
• 年，卷（期）: 2012,（4）
• 页码范围: 341-344
• 页数: 4页
• 分类号: O1

摘要

We consider direct solution to third order ordinary differential equations in this paper. Method of collection and interpolation of the power series approximant of single variable is considered to derive a linear multistep method (LMM) with continuous coefficient. Block method was later adopted to generate the independent solution at selected grid points. The properties of the block viz: order, zero stability and stability region are investigated. Our method was tested on third order ordinary differential equation and found to give better result when compared with existing methods.