An Alternative Method to Solve Laguerre and Hermite Differential Equations

Nihal Özdoğan

doi:10.38088/jise.1786587

An Alternative Method to Solve Laguerre and Hermite Differential Equations

Abstract

The fact that differential equations have an essential role in modelling many problems in various scientific fields such as mathematics, physics, astronomy and engineering, has led to the proposal of new techniques to solve these equations in the fastest and most effective way. Sometimes, the calculations to required to find the solutions of differential equations can be very complex and ultimately tedious. Integral transform methods have been a good way for solving differential equations more easily and accurately. The appropriate choice of an integral transform helps convert a differential equation into an easily solved algebraic equation. In this paper, we introduced an alternative method called the Mohand transform to solve Laguerre and Hermite differential equations. We have found that the proposed method is easy to apply, understandable and accurate.

Keywords

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Nihal Özdoğan ^*
0000-0002-7551-1636
Türkiye

Publication Date

April 11, 2026

Submission Date

September 18, 2025

Acceptance Date

November 25, 2025

Published in Issue

Year 2026 Volume: 10 Number: 1

DOI

https://doi.org/10.38088/jise.1786587

IZ

https://izlik.org/JA73CC94AK

Cite

RIS / Bibtex

APA

Özdoğan, N. (2026). An Alternative Method to Solve Laguerre and Hermite Differential Equations. Journal of Innovative Science and Engineering, 10(1), 96-104. https://doi.org/10.38088/jise.1786587

AMA

1.Özdoğan N. An Alternative Method to Solve Laguerre and Hermite Differential Equations. JISE. 2026;10(1):96-104. doi:10.38088/jise.1786587

Chicago

Özdoğan, Nihal. 2026. “An Alternative Method to Solve Laguerre and Hermite Differential Equations”. Journal of Innovative Science and Engineering 10 (1): 96-104. https://doi.org/10.38088/jise.1786587.

EndNote

Özdoğan N (April 1, 2026) An Alternative Method to Solve Laguerre and Hermite Differential Equations. Journal of Innovative Science and Engineering 10 1 96–104.

IEEE

[1]N. Özdoğan, “An Alternative Method to Solve Laguerre and Hermite Differential Equations”, JISE, vol. 10, no. 1, pp. 96–104, Apr. 2026, doi: 10.38088/jise.1786587.

ISNAD

Özdoğan, Nihal. “An Alternative Method to Solve Laguerre and Hermite Differential Equations”. Journal of Innovative Science and Engineering 10/1 (April 1, 2026): 96-104. https://doi.org/10.38088/jise.1786587.

JAMA

1.Özdoğan N. An Alternative Method to Solve Laguerre and Hermite Differential Equations. JISE. 2026;10:96–104.

MLA

Özdoğan, Nihal. “An Alternative Method to Solve Laguerre and Hermite Differential Equations”. Journal of Innovative Science and Engineering, vol. 10, no. 1, Apr. 2026, pp. 96-104, doi:10.38088/jise.1786587.

Vancouver

1.Nihal Özdoğan. An Alternative Method to Solve Laguerre and Hermite Differential Equations. JISE. 2026 Apr. 1;10(1):96-104. doi:10.38088/jise.1786587