A Note on the Construction of Constant Order Predictor Corrector Algorithm for the Solution of y′ = f(x,y)
Journal of Advances in Mathematics and Computer Science · pp. 886–895 · Published 16 Jan 2014
10.9734/BJMCS/2014/6284Abstract
This paper examines the development of one step, five hybrid point method for the solution of first order initial value problems. We adopted the method of collocation and interpolation of power series approximate solution to generate a continuous linear multistep method. The continuous linear multistep method was evaluated at selected grid points to give the discrete linear multistep method. The method was implemented using a constant order predictor of order seven over an overlapping interval. The basic properties of the derived corrector was investigated and found to be zero stable, consistent and convergent. The region of absolute stability was also investigated. The method was tested on some numerical experiments and found to compare favorably with the existing methods.
References (4)
- 1 A class of continuous methods for general second order initial value problems in ordinary differential equations [DOI]
- 2 Order Six Block Integrator for the Solution of First-Order Ordinary Differential Equations [DOI]
- 3 Continuous Implicit method for the Solution of General Second Order Ordinary Differential Equations
- 4 One-Step Implicit Hybrid Block Method for TheDirect Solution of General Second Order OrdinaryDifferential Equations
Cited by 4
E. Areo, P. Joseph · 2020
H. Soomro, N. Zainuddin, H. Daud · Journal of Physics, Conference Series · 2021
A. Adesanya, A. U. Fotta, R. O. Onsachi · 2016
A. U. Fotta, A. Bello, Y. I. Shelleng · 2015
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