NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS

Adebayo Femi Adebiyi; Adaobi Mmachukwu Udoye; Lukman Akinola; David Adeleke Mathew

NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS

Abstract

This paper focuses on the development of a new block method for solving fourth order initial value problems of ordinary differential equations. Applying Chebyshev polynomial as a basis function, the method was developed using interpolation and collocation approaches. The convergence property of the method was established with zero-stability and consistency. Comparison was made with existing method, and the newly developed method compares favourably well.

Keywords

References

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Details

Primary Language

English

Subjects

Numerical Solution of Differential and Integral Equations, Numerical Analysis, Lie Groups, Harmonic and Fourier Analysis

Journal Section

Research Article

Authors

Adebayo Femi Adebiyi This is me
0009-0005-8798-1183
Nigeria

Adaobi Mmachukwu Udoye ^* This is me
0000-0001-9402-5804
Nigeria

Lukman Akinola
0000-0002-1576-1019
Nigeria

David Adeleke Mathew This is me
0000-0002-9415-8444
Nigeria

Publication Date

March 17, 2026

Submission Date

March 11, 2025

Acceptance Date

August 19, 2025

Published in Issue

Year 2026 Volume: 16 Number: 3

IZ

https://izlik.org/JA98DR99YX

Cite

RIS / Bibtex

APA

Adebiyi, A. F., Udoye, A. M., Akinola, L., & Mathew, D. A. (2026). NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS. TWMS Journal of Applied and Engineering Mathematics, 16(3), 397-408. https://izlik.org/JA98DR99YX

AMA

1.Adebiyi AF, Udoye AM, Akinola L, Mathew DA. NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS. JAEM. 2026;16(3):397-408. https://izlik.org/JA98DR99YX

Chicago

Adebiyi, Adebayo Femi, Adaobi Mmachukwu Udoye, Lukman Akinola, and David Adeleke Mathew. 2026. “NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics 16 (3): 397-408. https://izlik.org/JA98DR99YX.

EndNote

Adebiyi AF, Udoye AM, Akinola L, Mathew DA (March 1, 2026) NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS. TWMS Journal of Applied and Engineering Mathematics 16 3 397–408.

IEEE

[1]A. F. Adebiyi, A. M. Udoye, L. Akinola, and D. A. Mathew, “NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS”, JAEM, vol. 16, no. 3, pp. 397–408, Mar. 2026, [Online]. Available: https://izlik.org/JA98DR99YX

ISNAD

Adebiyi, Adebayo Femi - Udoye, Adaobi Mmachukwu - Akinola, Lukman - Mathew, David Adeleke. “NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics 16/3 (March 1, 2026): 397-408. https://izlik.org/JA98DR99YX.

JAMA

1.Adebiyi AF, Udoye AM, Akinola L, Mathew DA. NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS. JAEM. 2026;16:397–408.

MLA

Adebiyi, Adebayo Femi, et al. “NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 3, Mar. 2026, pp. 397-08, https://izlik.org/JA98DR99YX.

Vancouver

1.Adebayo Femi Adebiyi, Adaobi Mmachukwu Udoye, Lukman Akinola, David Adeleke Mathew. NEWLY DEVELOPED SINGLE-STEP BLOCK METHOD FOR NUMERICAL SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS. JAEM [Internet]. 2026 Mar. 1;16(3):397-408. Available from: https://izlik.org/JA98DR99YX