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Application of Homo-separation of variables method on nonlinearsystem of PDEs
KTH, School of Technology and Health (STH), Informatics, logistics and management (Closed 20130701).ORCID iD: 0000-0001-7320-2306
Khomeinishahr Branch Islamic Azad University Khomeinishahr, Isfahan. (Department of Mathematics)
Naghsh Jahan Intelligent and Communication Engineering Sahin Shahr, Isfahan IRAN. (R& D Division)
KTH, School of Technology and Health (STH), Informatics, logistics and management (Closed 20130701). Royal Institute of Technology KTH.ORCID iD: 0000-0002-1929-135X
2014 (English)In: WSEAS Transactions on Mathematics, ISSN 1109-2769, E-ISSN 2224-2880, Vol. 13, 992-1000 p.Article 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, 992-1000 p.
Keyword [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:kth:diva-166859Scopus ID: 2-s2.0-84927557680OAI: oai:DiVA.org:kth-166859DiVA: diva2:812786
Note

QC 20150520

Available from: 2015-05-20 Created: 2015-05-20 Last updated: 2017-12-04Bibliographically approved

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Karbalaie, AbdolamirErlandsson, Björn-Erik

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