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The solution of nonlinear parabolic equation using variational iteration method

Jurnal Matematika, Statistika dan Komputasi · Vol. 16 No. 3 (2020) · pp. 287–295

DOI
10.20956/jmsk.v16i3.8468
ISSN
2614-8811, 1858-1382
Published
2020-04-28
Publisher
Department of Mathematics, Hasanuddin University
Language
en

Abstract

Variational iteration method is a semi analytic solution used to solve the parabolic differential equation both of homogen or nonhomogen. In the process of determining an approximation solution, this method did not use a linearization and a small pertubation. In this paper, the variational iteration method is implemented in the parabolic differential equation in the form of ut = uxx + f(u) + g(x, t) with appropriate intial condition. Furthermore, some examples of special parabolic differential equations are given to test the reliability and convergence of the method. Based on the result of study shows that the variational iteration method is able to solve the parabolic differential equation with a good accuration.

Keywords

Collaboration network of the authors

15 authors · 28 co-authorship links

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  • State University of Malang
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
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Co-authorOrganisationJoint articles
Mohammad SolehAffiliation unknown2
Yuslenita MudaAffiliation unknown2
Eko SujarwantoState University of Malang1
Arif HidayatState University of Malang1
Rinda KiranaAffiliation unknown1
Sholihin BoneAffiliation unknown1
Rini ApriyaniAffiliation unknown1
Kristiawan Wisnu WardhanaAffiliation unknown1
Muhafzan MuhafzanAffiliation unknown1
Neng SantiAffiliation unknown1
Riry SriningsihAffiliation unknown1
Mutia NazviraAffiliation unknown1
Elfira SafitriAffiliation unknown1

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://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">The solution of  nonlinear parabolic equation using variational iteration method</dc:title>
	<dc:creator xml:lang="en">wartono, wartono</dc:creator>
	<dc:creator xml:lang="en">Suryani, Irma</dc:creator>
	<dc:subject xml:lang="en">Variational iteration method</dc:subject>
	<dc:subject xml:lang="en">nonlinear parabolic differential equation</dc:subject>
	<dc:subject xml:lang="en">semi analytical method</dc:subject>
	<dc:description xml:lang="en">Variational iteration method is a semi analytic solution used to solve   the parabolic differential  equation both of homogen or nonhomogen. In the process of determining an approximation solution, this method did not use a linearization and a small pertubation. In this paper, the variational iteration method is implemented in the parabolic differential equation  in the form of  ut = uxx + f(u) + g(x, t) with appropriate intial condition. Furthermore, some examples of special parabolic differential equations are given to test the reliability and convergence of the method. Based on the result of study shows that the variational iteration method is  able to solve the parabolic differential equation with a good accuration. </dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2020-04-28</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://journal.unhas.ac.id/index.php/jmsk/article/view/8468</dc:identifier>
	<dc:identifier>10.20956/jmsk.v16i3.8468</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 16 No. 3 (2020): JMSK, MAY, 2020; 287-295</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/8468/pdf</dc:relation>
	<dc:relation>10.20956/j.v16i3.8468.g5095</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2020 Jurnal Matematika, Statistika dan Komputasi</dc:rights>
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