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

Oluwasayo Esther Taıwo; Lateef Olakunle Moshood; Muideen Odunayo Ogunnıran

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

Abstract

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

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Oluwasayo Esther Taıwo ^* This is me
0009-0002-2984-1375
Nigeria

Lateef Olakunle Moshood This is me
0000-0002-3108-2948
United States

Muideen Odunayo Ogunnıran This is me
0000-0003-4510-1254
Nigeria

Publication Date

December 17, 2023

Submission Date

August 7, 2023

Acceptance Date

November 28, 2023

Published in Issue

Year 2023 Volume: 1 Number: 2

IZ

https://izlik.org/JA48ER93UC

Cite

RIS / Bibtex

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://izlik.org/JA48ER93UC

AMA

1.Taıwo OE, Moshood LO, Ogunnıran MO. Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations. Istanbul Journal of Mathematics. 2023;1(2):86-95. https://izlik.org/JA48ER93UC

Chicago

Taıwo, Oluwasayo Esther, 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 (2): 86-95. https://izlik.org/JA48ER93UC.

EndNote

Taıwo OE, Moshood LO, Ogunnıran MO (December 1, 2023) Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations. Istanbul Journal of Mathematics 1 2 86–95.

IEEE

[1]O. E. Taıwo, L. O. Moshood, and M. O. Ogunnıran, “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, Dec. 2023, [Online]. Available: https://izlik.org/JA48ER93UC

ISNAD

Taıwo, Oluwasayo Esther - Moshood, Lateef Olakunle - Ogunnıran, Muideen Odunayo. “Effectiveness of a One-Fifth Hybrid Block Approach for Second Order Ordinary Differential Equations”. Istanbul Journal of Mathematics 1/2 (December 1, 2023): 86-95. https://izlik.org/JA48ER93UC.

JAMA

1.Taıwo OE, Moshood LO, Ogunnıran MO. Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations. Istanbul Journal of Mathematics. 2023;1:86–95.

MLA

Taıwo, Oluwasayo Esther, et al. “Effectiveness of a One-Fifth Hybrid Block Approach for Second Order Ordinary Differential Equations”. Istanbul Journal of Mathematics, vol. 1, no. 2, Dec. 2023, pp. 86-95, https://izlik.org/JA48ER93UC.

Vancouver

1.Oluwasayo Esther Taıwo, Lateef Olakunle Moshood, Muideen Odunayo Ogunnıran. Effectiveness of a One-fifth Hybrid Block Approach for Second Order Ordinary Differential Equations. Istanbul Journal of Mathematics [Internet]. 2023 Dec. 1;1(2):86-95. Available from: https://izlik.org/JA48ER93UC