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Open Access Research Article

New results of Khalouta transform method for non-constant coefficients ordinary differential equations

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* Corresponding author · click or hover a name for details

pp. 2555–2566Vol. 28Issue 7October 2025DOI: 10.47974/JIM-2004XML
Received:
05 Dec 2023
Published Online:
08 Mar 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2004
Pages:
2555–2566

Abstract

The key objective of this manuscript is to present new results for solving non-constant coefficients ordinary differential equations using a new integral transform called Khalouta transform (KhT). This new integral transform was defined and developed by the author in 2023. The new results presented consist in finding general formulas of solutions for the non-constant coefficients ordinary differential equations. Various numerical examples are presented in order to show the efficiency of the obtained results. Numerical test results confirm that the KhT technique is very effective in obtaining the exact solution of linear differential problems.

Keywords

Subject Classifications

44A0544A3534A2534A30

References

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