A Novel Approach to Solving Singularly Perturbed differential algebraic equations: Regularized Laplace Homotopy Perturbation Method

  • Khalid Farhan Department of Biomedical Engineering, Shatrah University College of Engineering, Shatrah Thi-Qar, Iraq.
DOI: https://doi.org/10.19139/soic-2310-5070-2439
Keywords: Singularly perturbed; Differential algebraic equations; Laplace transforms; Regularized Homotopy Perturbation Method

Abstract

In this paper, we used the  Laplace Homotopy Perturbation Method (LHPM) to solve the system of Singularly Perturbed differential algebraic equations (DAEs) with an initial condition. We have added an optimization parameter to LHPM to obtain more accurate solutions . Examples are solved using the method presented in this paper, and the calculated results were compared with the Rung-Kutta  and Euler methods to observe the accuracy and efficiency of the proposed method.
Published
2025-07-28
How to Cite
Farhan, K. (2025). A Novel Approach to Solving Singularly Perturbed differential algebraic equations: Regularized Laplace Homotopy Perturbation Method. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2439
Issue
Online First
Section
Research Articles
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