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Application of Homo-separation of variables method on nonlinearsystem of PDEs
Khomeinishahr Branch Islamic Azad University Khomeinishahr, Isfahan.
Naghsh Jahan Intelligent and Communication Engineering Sahin Shahr, Isfahan IRAN.
2014 (English)In: WSEAS Transactions on Mathematics, ISSN 1109-2769, E-ISSN 2224-2880, Vol. 13, p. 992-1000Article in journal (Refereed) Published
Abstract [en]

In this study, the Homo-Separation of Variables method is introduced to find the exact solution of somecoupled nonlinear partial differential equations. This analytical method is a new combination of two powerfuland popular methods; namely the homotopy perturbation method (HPM) and the separation of variables method.The exact solution is constructed by choosing an appropriate initial approximation in addition to retaining onlythe first term of the series obtained by HPM. The proposed method is capable of reducing the computational loadconsiderably when compared to other classical method.

Place, publisher, year, edition, pages
World Scientific and Engineering Academy and Society , 2014. Vol. 13, p. 992-1000
Keywords [en]
Homo-separation of variables, Homotopy perturbation, Separation of variables, coupled Burgers’ equations
National Category
Engineering and Technology
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-37169Scopus ID: 2-s2.0-84927557680OAI: oai:DiVA.org:miun-37169DiVA, id: diva2:1349406
Note

QC 20150520

Available from: 2019-09-09 Created: 2019-09-09 Last updated: 2019-09-09Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • vancouver
  • Other style
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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Output format
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