Numerical Application of Higher Order Linear Block Method for Solving Some Fourth Order Initial Value Problems
Keywords:
Numerical application, Block hybrid method, Initial value problems, Differential equationAbstract
The numerical application of higher order linear block method for the direct solution of fourth order initial value problems was proposed using the linear block algorithm, where the methods applied in block form. The method is zero-stabile, consistent and convergent when analyzing the properties of the method. The mathematical example solved using the method is effective, suitable, and acceptable for solving fourth order initial value problems. The method is also compared with existing work when solving similar systems of differential equation and obviously, the method performs better than those in literature and textual shown.

Published
How to Cite
Issue
Section
Copyright (c) 2023 D. Raymond, T. Y. Kyagya, S. John, A. Lydia

This work is licensed under a Creative Commons Attribution 4.0 International License.
African Scientific Reports (ASR) is published under the Creative Commons Attribution 4.0 International License. This license was developed to facilitate open access, namely, it allows articles to be freely downloaded and to be re-used and re-distributed without restriction, as long as the original work is correctly cited. More specifically, anyone may copy, distribute or reuse these articles, create extracts, abstracts, and other revised versions, adaptations or derivative works of or from an article, mine the article even for commercial purposes, as long as they credit the author(s).
Most read articles by the same author(s)
- D. Raymond, T. P. Pantuvo, A. Lydia, J. Sabo, R. Ajia, An Optimized Half-Step Scheme Third derivative Methods for Testing Higher Order Initial Value Problems , African Scientific Reports: Volume 2, Issue 1, April 2023