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

Authors

  • 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.

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Published

2025-07-28

Issue

Vol. 14 No. 5 (2025)

Section

Research Articles

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How to Cite

A Novel Approach to Solving Singularly Perturbed differential algebraic equations: Regularized Laplace Homotopy Perturbation Method. (2025). Statistics, Optimization & Information Computing, 14(5), 2503-2517. https://doi.org/10.19139/soic-2310-5070-2439