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DOI :10.26650/ijmath.2023.00010   IUP :10.26650/ijmath.2023.00010    Full Text (PDF)

Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations

Oluwasayo Esther Taıwo, Lateef Olakunle Moshood, Muideen Odunayo Ogunnıran

In this paper, a class of hybrid block methods for solving second order ordinary differential equations directly was developed. This class was obtained by interpolation and collocation techniques. The methods were analyzed based on the qualitative properties of linear multi-step methods and were found to be zero-stable, consistent and convergent with good region of absolute stability. The proposed methods were analyzed quantitatively and implemented on second order ordinary differential initial value problems. An improved performance of the new methods over existing methods in the literature was shown by solving five numerical examples. The results were presented in tabular form.

Keywords: Block method, hybrid method, initial value problems, one-fifth step, convergence, stability

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APA

Taıwo, O.E., Moshood, L.O., & Ogunnıran, M.O. (2023). Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations. Istanbul Journal of Mathematics, 1(2), 86-95. https://doi.org/10.26650/ijmath.2023.00010


AMA

Taıwo O E, Moshood L O, Ogunnıran M O. Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations. Istanbul Journal of Mathematics. 2023;1(2):86-95. https://doi.org/10.26650/ijmath.2023.00010


ABNT

Taıwo, O.E.; Moshood, L.O.; Ogunnıran, M.O. Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations. Istanbul Journal of Mathematics, [Publisher Location], v. 1, n. 2, p. 86-95, 2023.


Chicago: Author-Date Style

Taıwo, Oluwasayo Esther, and Lateef Olakunle Moshood and Muideen Odunayo Ogunnıran. 2023. “Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations.” Istanbul Journal of Mathematics 1, no. 2: 86-95. https://doi.org/10.26650/ijmath.2023.00010


Chicago: Humanities Style

Taıwo, Oluwasayo Esther, and Lateef Olakunle Moshood and Muideen Odunayo Ogunnıran. “Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations.” Istanbul Journal of Mathematics 1, no. 2 (May. 2024): 86-95. https://doi.org/10.26650/ijmath.2023.00010


Harvard: Australian Style

Taıwo, OE & Moshood, LO & Ogunnıran, MO 2023, 'Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations', Istanbul Journal of Mathematics, vol. 1, no. 2, pp. 86-95, viewed 19 May. 2024, https://doi.org/10.26650/ijmath.2023.00010


Harvard: Author-Date Style

Taıwo, O.E. and Moshood, L.O. and Ogunnıran, M.O. (2023) ‘Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations’, Istanbul Journal of Mathematics, 1(2), pp. 86-95. https://doi.org/10.26650/ijmath.2023.00010 (19 May. 2024).


MLA

Taıwo, Oluwasayo Esther, and Lateef Olakunle Moshood and Muideen Odunayo Ogunnıran. “Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations.” Istanbul Journal of Mathematics, vol. 1, no. 2, 2023, pp. 86-95. [Database Container], https://doi.org/10.26650/ijmath.2023.00010


Vancouver

Taıwo OE, Moshood LO, Ogunnıran MO. Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations. Istanbul Journal of Mathematics [Internet]. 19 May. 2024 [cited 19 May. 2024];1(2):86-95. Available from: https://doi.org/10.26650/ijmath.2023.00010 doi: 10.26650/ijmath.2023.00010


ISNAD

Taıwo, OluwasayoEsther - Moshood, LateefOlakunle - Ogunnıran, MuideenOdunayo. “Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations”. Istanbul Journal of Mathematics 1/2 (May. 2024): 86-95. https://doi.org/10.26650/ijmath.2023.00010



TIMELINE


Submitted07.08.2023
Accepted28.11.2023
Published Online18.12.2023

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