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Application of homo-separation of variables method on nonlinear system of PDEs
Division of Informatics, Logistics and Management School of Technology and Health STH, Royal Institute of Technology KTH, Stockholm, SWEDEN.ORCID iD: 0000-0001-7320-2306)
Department of Mathematics Khomeinishahr Branch Islamic Azad University Khomeinishahr, Isfahan, IRAN.
R& D Division Naghsh Jahan Intelligent and Communication Engineering Sahin Shahr, Isfahan, IRAN.
Division of Informatics, Logistics and Management School of Technology and Health STH, Royal Institute of Technology KTH, Stockholm, SWEDEN.
2014 (English)In: WSEAS Transactions on Mathematics, ISSN 1109-2769, E-ISSN 2224-2880, Vol. 13, p. 992-1000, article id 97Article in journal (Refereed) Published
Abstract [en]

In this study, the Homo-Separation of Variables method is introduced to find the exact solution of some coupled nonlinear partial differential equations. This analytical method is a new combination of two powerful and 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 only the first term of the series obtained by HPM. The proposed method is capable of reducing the computational load considerably when compared to other classical method.

Place, publisher, year, edition, pages
WSEAS , 2014. Vol. 13, p. 992-1000, article id 97
Keywords [en]
Homo-separation of variables, Homotopy perturbation, Separation of variables, coupled Burgers’ equations
National Category
Computational Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-229456OAI: oai:DiVA.org:umu-229456DiVA, id: diva2:1896337
Available from: 2024-09-10 Created: 2024-09-10 Last updated: 2024-09-11Bibliographically approved

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Karbalaie, Abdolamir

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