Melola Discovery

← Melola Discovery

Open access Journal SINTA 3

ANALYSIS OF THE SPRUCE BUDWORM MODEL USING THE HEUN METHOD AND THIRD-ORDER RUNGE-KUTTA

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 3 (2022) · pp. 967–974

DOI
10.30598/barekengvol16iss3pp967-974
ISSN
2615-3017, 1978-7227
Published
2022-09-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

This study discusses the analysis of the Spruce Budworm model using numerical methods, namely the Heun method and the Third Order Runge-Kutta method. The purpose of this study is to determine the numerical results of the Heun method and the Third Order Runge-Kutta method on the cypress caterpillar model and to determine the comparison of errors from the two methods, namely the Heun method and the Third Order Runge-Kutta method in analyzing the Spruce Budworm model. The results of the study using the Heun method for the initial conditions at years, for, the result obtained is and. For the calculation result of the Spruce Budworm model using the third-order Runge-Kutta method, the result obtained is and. while the error of Caterpillar Density with the third-order Runge-Kutta method is bigger than the Heun method, while the error of Branch Surface Area and the error of Reserve Food error using the Heun method bigger than using the third-order Runge-Kutta method.

Collaboration network of the authors

11 authors · 19 co-authorship links · 4 across different organisations

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universitas Halu Oleo
  • Universitas Islam Negeri Alauddin Makassar
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
La HasanudinUniversitas Halu Oleo1
Nanang EndriatnoUniversitas Halu Oleo1
Mustakim MustakimUniversitas Halu Oleo1
Nurjannah NurjannahAffiliation unknown1
Takdir SailiUniversitas Halu Oleo1
Hamdan HasUniversitas Halu Oleo1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">ANALYSIS OF THE SPRUCE BUDWORM MODEL USING THE HEUN METHOD AND THIRD-ORDER RUNGE-KUTTA</dc:title>
	<dc:creator>Irwan, Irwan</dc:creator>
	<dc:creator>Irwan, Muh</dc:creator>
	<dc:creator>Rosmaniar, Rosmaniar</dc:creator>
	<dc:creator>Alwi, Wahidah</dc:creator>
	<dc:creator>Ibnas, Risnawati</dc:creator>
	<dc:description xml:lang="en-US">This study discusses the analysis of the Spruce Budworm model using numerical methods, namely the Heun method and the Third Order Runge-Kutta method.&amp;nbsp; The purpose of this study is to determine the numerical results of the Heun method and the Third Order Runge-Kutta method on the cypress caterpillar model and to determine the comparison of errors from the two methods, namely the Heun method and the Third Order Runge-Kutta method in analyzing the Spruce Budworm model.&amp;nbsp; The results of the study using the Heun method for the initial conditions  at  &amp;nbsp;years, for  , the result obtained is  &amp;nbsp;and  . For the calculation result of the Spruce Budworm model using the third-order Runge-Kutta method, the result obtained is  &amp;nbsp;and  . while the error of Caterpillar Density &amp;nbsp; &amp;nbsp;with the third-order Runge-Kutta method is bigger than the Heun method,&amp;nbsp; while the error of Branch Surface Area  &amp;nbsp;and the error of Reserve Food  &amp;nbsp;error using the Heun method bigger than using the third-order Runge-Kutta method.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2022-09-01</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://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6216</dc:identifier>
	<dc:identifier>10.30598/barekengvol16iss3pp967-974</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 16 No 3 (2022): BAREKENG: Journal of Mathematics and Its Applications; 967-974</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol16iss3year2022</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6216/4620</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Irwan Irwan, Muh Irwan, Rosmaniar Rosmaniar, Wahidah Alwi, Risnawati Ibnas</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>