Numerical Analytic Solution of SIR Model of Dengue Fever Disease in South Sulawesi using Homotopy Perturbation Method and Variational Iteration Method

Rangkuti, Yulita Molliq; Side, Syafruddin; Noorani, Mohd Salmi Md

doi:10.5614/j.math.fund.sci.2014.46.1.8

Jurnal SINTA 1

Numerical Analytic Solution of SIR Model of Dengue Fever Disease in South Sulawesi using Homotopy Perturbation Method and Variational Iteration Method

Journal of Mathematical and Fundamental Sciences · Vol. 46 No. 1 (2014) · hlm. 91–105

DOI: 10.5614/j.math.fund.sci.2014.46.1.8
ISSN: 2338-5510, 2337-5760
Terbit: 2014-04-01
Penerbit: Directorate for Research and Innovation (DRI) ITB
Bahasa: eng

Abstrak

In this research, the susceptible"“infected"“recovered (SIR) model of dengue fever is considered. We have implemented two analytical techniques, namely the variational iteration method (VIM) and the homotopy perturbation method (HPM) for solving the SIR model. The Lagrange multiplier was investigated for the VIM and He's polynomial approach for the HPM was used. In these schemes, the solution takes the form of a convergent series with easily computable components. The resultsshow thatthe VIM solution is more accurate than the HPM solution for short time intervals, whereasthe HPM is more accurate than the VIM for long time intervalswhencompared with the fourth-orderRunge-Kutta method (RK4).We found that the HPM and the RK4 were in excellent conformance.

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12 penulis · 19 tautan kepenulisan bersama · 4 lintas organisasi

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State University of Medan
State University of Makassar
National University of Malaysia
Universitas Muslim Nusantara Al Washliyah

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Rekan penulis	Organisasi	Artikel bersama
Marlina Setia Sinaga	State University of Medan	1
Arnita Arnita	State University of Medan	1
Didi Febrian	State University of Medan	1
Wahidah Sanusi	State University of Makassar	1
Andi Muhammad Ridho Yusuf Sainon Andi Padjalangi	State University of Makassar	1
Muhammad Isbar Pratama	State University of Makassar	1
Ichwanul Muslim Karo Karo	State University of Medan	1
Wahyu Nur Fadillah	State University of Medan	1
Firmansyah Firmansyah	Universitas Muslim Nusantara Al Washliyah	1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journals.itb.ac.id/index.php/jmfs/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.

Metadata asli (oai_dc)

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	<dc:title xml:lang="en-US">Numerical Analytic Solution of SIR Model of Dengue Fever Disease in South Sulawesi using Homotopy Perturbation Method and Variational Iteration Method</dc:title>
	<dc:creator>Rangkuti, Yulita Molliq</dc:creator>
	<dc:creator>Side, Syafruddin</dc:creator>
	<dc:creator>Noorani, Mohd Salmi Md</dc:creator>
	<dc:subject xml:lang="en-US">Variational iteration method</dc:subject>
	<dc:subject xml:lang="en-US">homotopy perturbation method</dc:subject>
	<dc:subject xml:lang="en-US">SIR model</dc:subject>
	<dc:subject xml:lang="en-US">Lagrange multiplier</dc:subject>
	<dc:subject xml:lang="en-US">Heâ€™s polynomial</dc:subject>
	<dc:description xml:lang="en-US">In this research, the susceptible"“infected"“recovered (SIR) model of dengue fever is considered. We have implemented two analytical techniques, namely the variational iteration method (VIM) and the homotopy perturbation method (HPM) for solving the SIR model. The Lagrange multiplier was investigated for the VIM and He's polynomial approach for the HPM was used. In these schemes, the solution takes the form of a convergent series with easily computable components. The resultsshow thatthe VIM solution is more accurate than the HPM solution for short time intervals, whereasthe HPM is more accurate than the VIM for long time intervalswhencompared with the fourth-orderRunge-Kutta method (RK4).We found that the HPM and the RK4 were in excellent conformance.</dc:description>
	<dc:publisher xml:lang="en-US">Directorate for Research and Innovation (DRI) ITB</dc:publisher>
	<dc:date>2014-04-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journals.itb.ac.id/index.php/jmfs/article/view/819</dc:identifier>
	<dc:identifier>10.5614/j.math.fund.sci.2014.46.1.8</dc:identifier>
	<dc:source xml:lang="en-US">Journal of Mathematical and Fundamental Sciences; Vol. 46 No. 1 (2014); 91-105</dc:source>
	<dc:source>2338-5510</dc:source>
	<dc:source>2337-5760</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journals.itb.ac.id/index.php/jmfs/article/view/819/498</dc:relation>
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