Comparison of the results obtained by Iman transform with Laplace transform

Nihal Özdoğan

doi:10.38088/jise.1497589

EN

Comparison of the results obtained by Iman transform with Laplace transform

Abstract

Many processes in the real world are characterised by principles which are defined in the form of expressions involving rates of change. Mathematically, rates are derivatives and expressions are equations so we have differential equations. Differential equations play an important role for modelling many problems in different scientific fields. Sometimes, the calculations to solve these equations can be very complex and ultimately frustrating. For this reason, many integral transform methods were proposed by researchers. However, integral transform methods can give consistent solutions to many complex problems and have many application areas such as physics, mechanics, engineering, astronomy. In this work, two integral transforms, Iman transform and the well-known Laplace transform were studied comparatively to facilitate the solution of linear ordinary differential equations with constant coefficients. Applications of these two transforms show that these integral transform methods are closely related to each other.

Keywords

References

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Details

Primary Language

English

Subjects

Numerical Solution of Differential and Integral Equations

Journal Section

Research Article

Authors

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

Early Pub Date

December 12, 2024

Publication Date

December 31, 2024

Submission Date

June 7, 2024

Acceptance Date

September 19, 2024

Published in Issue

Year 2024 Volume: 8 Number: 2

DOI

https://doi.org/10.38088/jise.1497589

IZ

https://izlik.org/JA37SF64KR

Cite

RIS / Bibtex

APA

Özdoğan, N. (2024). Comparison of the results obtained by Iman transform with Laplace transform. Journal of Innovative Science and Engineering, 8(2), 233-242. https://doi.org/10.38088/jise.1497589

AMA

1.Özdoğan N. Comparison of the results obtained by Iman transform with Laplace transform. JISE. 2024;8(2):233-242. doi:10.38088/jise.1497589

Chicago

Özdoğan, Nihal. 2024. “Comparison of the Results Obtained by Iman Transform With Laplace Transform”. Journal of Innovative Science and Engineering 8 (2): 233-42. https://doi.org/10.38088/jise.1497589.

EndNote

Özdoğan N (December 1, 2024) Comparison of the results obtained by Iman transform with Laplace transform. Journal of Innovative Science and Engineering 8 2 233–242.

IEEE

[1]N. Özdoğan, “Comparison of the results obtained by Iman transform with Laplace transform”, JISE, vol. 8, no. 2, pp. 233–242, Dec. 2024, doi: 10.38088/jise.1497589.

ISNAD

Özdoğan, Nihal. “Comparison of the Results Obtained by Iman Transform With Laplace Transform”. Journal of Innovative Science and Engineering 8/2 (December 1, 2024): 233-242. https://doi.org/10.38088/jise.1497589.

JAMA

1.Özdoğan N. Comparison of the results obtained by Iman transform with Laplace transform. JISE. 2024;8:233–242.

MLA

Özdoğan, Nihal. “Comparison of the Results Obtained by Iman Transform With Laplace Transform”. Journal of Innovative Science and Engineering, vol. 8, no. 2, Dec. 2024, pp. 233-42, doi:10.38088/jise.1497589.

Vancouver

1.Nihal Özdoğan. Comparison of the results obtained by Iman transform with Laplace transform. JISE. 2024 Dec. 1;8(2):233-42. doi:10.38088/jise.1497589