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Galoitica: Journal of Mathematical Structures and Applications

ISSN
Online: 2834-5568
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Continuous publication

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Open access journal. All articles are freely available online with no APC.

Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 10Issue 2PP: 19-26 • 2024

A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method

Ahmed R. Khlefha 1*
1Department of Mathematics, College of Education, University of Sumer, Thi-Qar, Iraq.
* Corresponding Author.
Received: October 19, 2023 Revised: January 16, 2024 Accepted: March 18, 2024

Abstract

This article presents the development of families of approaches for numerically solving singularly perturbed two-point boundary-value problems using exponential spline functions. The proposed approaches exhibit second-order and fourth-order accuracy and are suitable for both singular and non-singular problem scenarios. Numerical data are presented to demonstrate the efficacy of our methodologies and are compared with those proposed by various writers.

Keywords

Exponential spline functions boundary value problems absolute errors Convergence Analysis.

References

 

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Cite This Article

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Khlefha, Ahmed R.. "A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 10, no. Issue 2, 2024, pp. 19-26. DOI: https://doi.org/10.54216/GJMSA.0100202
Khlefha, A. (2024). A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method. Galoitica: Journal of Mathematical Structures and Applications, Volume 10(Issue 2), 19-26. DOI: https://doi.org/10.54216/GJMSA.0100202
Khlefha, Ahmed R.. "A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method." Galoitica: Journal of Mathematical Structures and Applications Volume 10, no. Issue 2 (2024): 19-26. DOI: https://doi.org/10.54216/GJMSA.0100202
Khlefha, A. (2024) 'A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method', Galoitica: Journal of Mathematical Structures and Applications, Volume 10(Issue 2), pp. 19-26. DOI: https://doi.org/10.54216/GJMSA.0100202
Khlefha A. A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method. Galoitica: Journal of Mathematical Structures and Applications. 2024;Volume 10(Issue 2):19-26. DOI: https://doi.org/10.54216/GJMSA.0100202
A. Khlefha, "A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 10, no. Issue 2, pp. 19-26, 2024. DOI: https://doi.org/10.54216/GJMSA.0100202
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