Four Steps Continuous Method for the Solution of <i>y″</i>= <i>f</i>(<i>x, y, y′</i>)

作     者：Adetola Olaide Adesanya Mattew Remilekun Odekunle Mfon Odo Udoh 

作者机构：Department of Mathematics and Statistics Cross River State University of Technology Calabar Nigeria Department of Mathematics Modibbo Adama University of Technology Yola Nigeria 

出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)

年 卷 期：2013年第3卷第2期

页      面：169-174页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Predictor Corrector Collocation Interpolation Power Series Approximant Continuous Block Method 

摘      要：This paper proposes a continuous block method for the solution of second order ordinary differential equation. Collocation and interpolation of the power series approximate solution are adopted to derive a continuous implicit linear multistep method. Continuous block method is used to derive the independent solution which is evaluated at selected grid points to generate the discrete block method. The order, consistency, zero stability and stability region are investigated. The new method was found to compare favourably with the existing methods in term of accuracy.