IMPROVING α-PARAMETERIZED DIFFERENTIAL TRANSFORM METHOD WITH DANDELION OPTIMIZER FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS
Mustafa Raed Najeeb
mostafa.csp115@student.uomosul.edu.iqUniversity of Mosul, Mathematics Department (Iraq)
https://orcid.org/0000-0001-5471-7494
Omar Saber Qasim
University of Mosul, Mathematics Department (Iraq)
https://orcid.org/0000-0003-3301-6271
Abstract
In this manuscript, we aim to address Ordinary Differential Equations (ODEs) by α-Parameterized Differential Transform Method (α-PDTM). Additionally, we seek to enhance the effectiveness of α-PDTM by incorporating the Dandelion Optimizer (DO). The DO plays a crucial role in optimizing the parameter α, ensuring its adjustment and modification to secure the most favorable value. This refinement results in a more accurate approximation compared to conventional methods. The proposed approach, referred to as (αDO-PDTM), demonstrates a solution distinguished by its reliability and efficiency, as determined through the computation of Maximum Absolute Error (MAE) and the Mean Square Errors (MSE).
Keywords:
α-parameterized differential transform, Dandelion optimizer, ordinary differential equations, meta heuristicReferences
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Authors
Mustafa Raed Najeebmostafa.csp115@student.uomosul.edu.iq
University of Mosul, Mathematics Department Iraq
https://orcid.org/0000-0001-5471-7494
Authors
Omar Saber QasimUniversity of Mosul, Mathematics Department Iraq
https://orcid.org/0000-0003-3301-6271
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