The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems

Kareem Bello; Ajimoti Adam Ishaq; Taiye Oyedepo; Adam Ajimoti Ishaq

doi:10.17776/csj.1485917

EN

The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems

Abstract

The implementation of block algorithm for the direct solution of third order oscillatory problems of the form has been studied in this paper. The methodology is carried out using the procedure of interpolation and collocation. The analysis of the paper was analyzed. Also, on the applications, the results obtained shows that is highly efficient and can handle different equations for which the algorithm was designed for. This is because the computed solution matches the exact solution. In fact, the method obviously performed better than the ones with which we compared our results with. This shows that, the algorithm generates results very fast. Thus, there is economy of time in the computation.

Keywords

Project Number

1

Thanks

References

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Details

Primary Language

English

Subjects

Numerical Analysis

Journal Section

Research Article

Authors

Kareem Bello
0009-0007-6270-7705
Nigeria

Ajimoti Adam Ishaq
0000-0002-2563-0952
Nigeria

Taiye Oyedepo ^*
0000-0001-9063-8806
Nigeria

Adam Ajimoti Ishaq
0000-0002-8931-5708
Nigeria

Publication Date

September 30, 2025

Submission Date

May 20, 2024

Acceptance Date

March 27, 2025

Published in Issue

Year 2025 Volume: 46 Number: 3

DOI

https://doi.org/10.17776/csj.1485917

IZ

https://izlik.org/JA27CA68EA

Cite

RIS / Bibtex

APA

Bello, K., Ishaq, A. A., Oyedepo, T., & Ishaq, A. A. (2025). The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems. Cumhuriyet Science Journal, 46(3), 563-571. https://doi.org/10.17776/csj.1485917

AMA

1.Bello K, Ishaq AA, Oyedepo T, Ishaq AA. The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems. CSJ. 2025;46(3):563-571. doi:10.17776/csj.1485917

Chicago

Bello, Kareem, Ajimoti Adam Ishaq, Taiye Oyedepo, and Adam Ajimoti Ishaq. 2025. “The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems”. Cumhuriyet Science Journal 46 (3): 563-71. https://doi.org/10.17776/csj.1485917.

EndNote

Bello K, Ishaq AA, Oyedepo T, Ishaq AA (September 1, 2025) The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems. Cumhuriyet Science Journal 46 3 563–571.

IEEE

[1]K. Bello, A. A. Ishaq, T. Oyedepo, and A. A. Ishaq, “The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems”, CSJ, vol. 46, no. 3, pp. 563–571, Sept. 2025, doi: 10.17776/csj.1485917.

ISNAD

Bello, Kareem - Ishaq, Ajimoti Adam - Oyedepo, Taiye - Ishaq, Adam Ajimoti. “The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems”. Cumhuriyet Science Journal 46/3 (September 1, 2025): 563-571. https://doi.org/10.17776/csj.1485917.

JAMA

1.Bello K, Ishaq AA, Oyedepo T, Ishaq AA. The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems. CSJ. 2025;46:563–571.

MLA

Bello, Kareem, et al. “The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems”. Cumhuriyet Science Journal, vol. 46, no. 3, Sept. 2025, pp. 563-71, doi:10.17776/csj.1485917.

Vancouver

1.Kareem Bello, Ajimoti Adam Ishaq, Taiye Oyedepo, Adam Ajimoti Ishaq. The Implementation of Block Algorithm for the Solution of Third Order Oscillatory Problems. CSJ. 2025 Sep. 1;46(3):563-71. doi:10.17776/csj.1485917