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Damping Effects on the Accuracy of Homotopy Perturbation Method for Duffing Oscillator Equation

Mathematical Sciences and Applications Journal · Vol. 5 No. 2 (2025) · hlm. 58–65

DOI
10.22437/msa.v5i2.42398
ISSN
2988-6481
Terbit
2025-08-31
Penerbit
Department of Mathematics, Faculty of Science and Technology Universitas Jambi
Bahasa
en

Abstrak

In this paper, the Homotopy Perturbation Method (HPM) is employed to solve the Duffing oscillator equation, which is applicable to modeling weak signal detection and chaotic system analysis. The Duffing oscillator equation is influenced by several parameters, including the damping ratio, stiffness coefficient, and external force amplitude and frequency. The perturbation solution up to the second term shows good agreement with numerical results, particularly when the stiffness coefficient and external force amplitude are small. In the absence of a damping coefficient, the HPM solution is only valid for short times and is bounded by the restriction imposed by the oscillator frequency. However, with the inclusion of a damping coefficient, the accuracy of the HPM solution is significantly improved, enabling complete prediction of the oscillating phenomenon of the Duffing oscillator.

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Sumber metadata: OAI-PMH (metadata jurnal) https://online-journal.unja.ac.id/index.php/msa/oai, pertama di-harvest 6 Nov 2026, terakhir terlihat 6 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en">Damping Effects on the Accuracy of Homotopy Perturbation Method for Duffing Oscillator Equation</dc:title>
	<dc:creator xml:lang="en">Putra, Gusrian</dc:creator>
	<dc:creator xml:lang="en">Mardianto, Lutfi</dc:creator>
	<dc:creator xml:lang="en">Turnip, Juan Daniel</dc:creator>
	<dc:creator xml:lang="en">Riani, Sefta Mila</dc:creator>
	<dc:creator xml:lang="en">Fauzi, Ikhwan</dc:creator>
	<dc:subject xml:lang="en">Homotopy Perturbation method</dc:subject>
	<dc:subject xml:lang="en">Duffing oscillator</dc:subject>
	<dc:subject xml:lang="en">Damping ratio</dc:subject>
	<dc:subject xml:lang="en">Stiffness coefficient</dc:subject>
	<dc:subject xml:lang="en">External force amplitude</dc:subject>
	<dc:description xml:lang="en">



In this paper, the Homotopy Perturbation Method (HPM) is employed to solve the Duffing oscillator equation, which is applicable to modeling weak signal detection and chaotic system analysis. The Duffing oscillator equation is influenced by several parameters, including the damping ratio, stiffness coefficient, and external force amplitude and frequency. The perturbation solution up to the second term shows good agreement with numerical results, particularly when the stiffness coefficient and external force amplitude are small. In the absence of a damping coefficient, the HPM solution is only valid for short times and is bounded by the restriction imposed by the oscillator frequency. However, with the inclusion of a damping coefficient, the accuracy of the HPM solution is significantly improved, enabling complete prediction of the oscillating phenomenon of the Duffing oscillator.



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	<dc:publisher xml:lang="en">Department of Mathematics, Faculty of Science and Technology Universitas Jambi</dc:publisher>
	<dc:date>2025-08-31</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://online-journal.unja.ac.id/msa/article/view/42398</dc:identifier>
	<dc:identifier>10.22437/msa.v5i2.42398</dc:identifier>
	<dc:source xml:lang="en">Mathematical Sciences and Applications Journal; Vol. 5 No. 2 (2025): Mathematical Sciences and Applications; 58-65</dc:source>
	<dc:source>2988-6481</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://online-journal.unja.ac.id/msa/article/view/42398/22020</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2025 Mathematical Sciences and Applications Journal</dc:rights>
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