E-ISSN 3115-5057 | ISSN 3115-5049
 

Research Article 


Solution of Third Order Initial value Problems of Ordinary Differential Equations using the Block Backwards Method

Lukman Olayinka Salaudeen, Adesoji Abraham Obayomi, Michael Omolade Adenuoye, Akeem Femi Bamigbola.


Abstract
This paper introduces a highly effective method for solving third-order ordinary differential equations. The method employs a block backward formula to implement the primary scheme for numerical solutions. The numerical examples provided demonstrate its exceptional applicability and efficacy, outperforming existing methods and providing solutions that are nearly identical to exact solutions. This new method is unequivocally superior in solving third-order ordinary differential equations.

Key words: Differential equation, Initial Value Problem, Numerical method, Order, block backwards method.


 
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How to Cite this Article
Pubmed Style

Salaudeen LO, Obayomi AA, Adenuoye MO, Bamigbola AF. Solution of Third Order Initial value Problems of Ordinary Differential Equations using the Block Backwards Method. CUJOSTECH. 2024; 1(1): 84-94. doi:10.5455/CUJOSTECH.240711


Web Style

Salaudeen LO, Obayomi AA, Adenuoye MO, Bamigbola AF. Solution of Third Order Initial value Problems of Ordinary Differential Equations using the Block Backwards Method. https://www.cujostech.com.ng/?mno=196630 [Access: June 22, 2026]. doi:10.5455/CUJOSTECH.240711


AMA (American Medical Association) Style

Salaudeen LO, Obayomi AA, Adenuoye MO, Bamigbola AF. Solution of Third Order Initial value Problems of Ordinary Differential Equations using the Block Backwards Method. CUJOSTECH. 2024; 1(1): 84-94. doi:10.5455/CUJOSTECH.240711



Vancouver/ICMJE Style

Salaudeen LO, Obayomi AA, Adenuoye MO, Bamigbola AF. Solution of Third Order Initial value Problems of Ordinary Differential Equations using the Block Backwards Method. CUJOSTECH. (2024), [cited June 22, 2026]; 1(1): 84-94. doi:10.5455/CUJOSTECH.240711



Harvard Style

Salaudeen, L. O., Obayomi, . A. A., Adenuoye, . M. O. & Bamigbola, . A. F. (2024) Solution of Third Order Initial value Problems of Ordinary Differential Equations using the Block Backwards Method. CUJOSTECH, 1 (1), 84-94. doi:10.5455/CUJOSTECH.240711



Turabian Style

Salaudeen, Lukman Olayinka, Adesoji Abraham Obayomi, Michael Omolade Adenuoye, and Akeem Femi Bamigbola. 2024. Solution of Third Order Initial value Problems of Ordinary Differential Equations using the Block Backwards Method. Confluence University Journal of Science and Technology, 1 (1), 84-94. doi:10.5455/CUJOSTECH.240711



Chicago Style

Salaudeen, Lukman Olayinka, Adesoji Abraham Obayomi, Michael Omolade Adenuoye, and Akeem Femi Bamigbola. "Solution of Third Order Initial value Problems of Ordinary Differential Equations using the Block Backwards Method." Confluence University Journal of Science and Technology 1 (2024), 84-94. doi:10.5455/CUJOSTECH.240711



MLA (The Modern Language Association) Style

Salaudeen, Lukman Olayinka, Adesoji Abraham Obayomi, Michael Omolade Adenuoye, and Akeem Femi Bamigbola. "Solution of Third Order Initial value Problems of Ordinary Differential Equations using the Block Backwards Method." Confluence University Journal of Science and Technology 1.1 (2024), 84-94. Print. doi:10.5455/CUJOSTECH.240711



APA (American Psychological Association) Style

Salaudeen, L. O., Obayomi, . A. A., Adenuoye, . M. O. & Bamigbola, . A. F. (2024) Solution of Third Order Initial value Problems of Ordinary Differential Equations using the Block Backwards Method. Confluence University Journal of Science and Technology, 1 (1), 84-94. doi:10.5455/CUJOSTECH.240711