Using the GML decomposition method for solving nonlinear differential equations
Gharib M. Gharibggharib@zu.edu.joDepartment of MathematicsZarqa UniversityZarqa, Amman, JordanView full profile → , Maha Alsaoudim_alsoudi@asu.edu.joDepartment of ScienceApplied Science Private UniversityAmman, JordanView full profile → , Ayat Bader202491154@zu.edu.joDepartment of MathematicsZarqa UniversityZarqa, Amman, JordanView full profile → , *Mohamed A. LabeebCorresponding authorm.labeeb85@yahoo.comFaculty of Artificial IntelligenceEgyptian Russian UniversityCairo Governorate, 4951641, EgyptView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Jan 2026
- Published Online:
- 08 Oct 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2670
- Pages:
- 1–14
Abstract
In this manuscript, we will introduce a new technique known by the GML decomposition technique. This technique has been used to various types of (NODEs) and as well as to derive the exact solutions of theorems. The foundation of the GMLDM is (ADM) and the GML Transform Method. The method that has been presented has made it easy to solve nonlinear ordinary differential equations. A quick convergence series solution is provided by the suggested approach. One excellent mathematical tool for solving LODEs and NODEs is the GML Decomposition Method (GMLDM). The GMLDM is incredibly simple and effective.
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References
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