E-ISSN 3115-5057 | ISSN 3115-5049
 
2025, Vol: 2, Issue: 2
2 / 2Current Issue Online FirstArchiveAims and ScopeAbstracting & Indexing

Research Article 


Block Method for the Approximate Solution of Third-order Initial Value Problems.

Blessing Iziegbe Akinnukawe, Emmanuel Mayowa Atteh.


Abstract
This paper aims to develop a novel third derivative block method with two hybrid points for the direct approximation of third-order Initial Value Problems (IVP). The hybrid points, and , used for the development of the schemes are selected such that they lie in the interval . These derived hybrid schemes are implemented in a block form on some third-order IVPs. The properties of the proposed method including convergence, order, and zero-stability are established. Application of the derived block method on test problems confirms the superiority of the method when compared to exact solutions and existing methods. The numerical results show that the proposed method effectively integrates the third-order Initial Value Problems directly.

Key words: Block method, Differential Equations, Hybrid points, Initial Value Problems, Third-order.


 
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How to Cite this Article
Pubmed Style

Akinnukawe BI, Atteh EM. Block Method for the Approximate Solution of Third-order Initial Value Problems.. CUJOSTECH. 2024; 1(1): 20-26. doi:10.5455/CUJOSTECH.240703

Web Style

Akinnukawe BI, Atteh EM. Block Method for the Approximate Solution of Third-order Initial Value Problems.. https://www.cujostech.com.ng/?mno=199149 [Access: June 22, 2026]. doi:10.5455/CUJOSTECH.240703

AMA (American Medical Association) Style

Akinnukawe BI, Atteh EM. Block Method for the Approximate Solution of Third-order Initial Value Problems.. CUJOSTECH. 2024; 1(1): 20-26. doi:10.5455/CUJOSTECH.240703


Vancouver/ICMJE Style

Akinnukawe BI, Atteh EM. Block Method for the Approximate Solution of Third-order Initial Value Problems.. CUJOSTECH. (2024), [cited June 22, 2026]; 1(1): 20-26. doi:10.5455/CUJOSTECH.240703


Harvard Style

Akinnukawe, B. I. & Atteh, . E. M. (2024) Block Method for the Approximate Solution of Third-order Initial Value Problems.. CUJOSTECH, 1 (1), 20-26. doi:10.5455/CUJOSTECH.240703


Turabian Style

Akinnukawe, Blessing Iziegbe, and Emmanuel Mayowa Atteh. 2024. Block Method for the Approximate Solution of Third-order Initial Value Problems.. Confluence University Journal of Science and Technology, 1 (1), 20-26. doi:10.5455/CUJOSTECH.240703


Chicago Style

Akinnukawe, Blessing Iziegbe, and Emmanuel Mayowa Atteh. "Block Method for the Approximate Solution of Third-order Initial Value Problems.." Confluence University Journal of Science and Technology 1 (2024), 20-26. doi:10.5455/CUJOSTECH.240703


MLA (The Modern Language Association) Style

Akinnukawe, Blessing Iziegbe, and Emmanuel Mayowa Atteh. "Block Method for the Approximate Solution of Third-order Initial Value Problems.." Confluence University Journal of Science and Technology 1.1 (2024), 20-26. Print. doi:10.5455/CUJOSTECH.240703


APA (American Psychological Association) Style

Akinnukawe, B. I. & Atteh, . E. M. (2024) Block Method for the Approximate Solution of Third-order Initial Value Problems.. Confluence University Journal of Science and Technology, 1 (1), 20-26. doi:10.5455/CUJOSTECH.240703


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