Hybrid approach to solve delay differential equations

Khudhair, Hatim Kareem; Hussain, Kasim Abbas

doi:10.47974/JIM-2310

Open Access Research Article

Hybrid approach to solve delay differential equations

Hatim Kareem Khudhairhatim.khudhair@uomustansiriyah.edu.iqDepartment of MathematicsCollege of ScienceMustansiriyah UniversityBaghdad, IraqView full profile → , ^*Kasim Abbas HussainCorresponding authorkasimabbas@uomustansiriyah.edu.iqDepartment of MathematicsCollege of ScienceMustansiriyah UniversityBaghdad, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 1271–1277Vol. 29Issue 5-AMay 2026DOI: 10.47974/JIM-2310XML

Received:: 01 May 2025
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2310
Pages:: 1271–1277

Abstract

In order to solve delay differential equations (DDEs), this work proposes a novel hybrid methodology that combines the Emad-Falih transform (EF) and homotopy perturbation methods (HPM), which is named (HPEFM). A perturbation theory is combined with an unusual transform known as the EF transform. The few numerical cases are solved to illustrate this new methodology. The goal for this study is to make computational jobs related to traditional methods easier. The results show the extent of the valuation decrease and are comparable to those of earlier studies.

Keywords

Emad-Failh transform Homotopy perturbation method Delay differential equations Initial value problems Hybrid method

Subject Classifications

65R1044A0547J0565Dxx

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