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Exact solution of partial differential equation using homo-separation of variables
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
Division of Informatics, Logistics and Management, School of Technology and Health STH, Royal Institute of Technology KTH, Stockholm, Sweden.
R&D Division, Naghsh Jahan Intelligent Communication Engineering, Sahin Shahr, Isfahan, Iran.
Department of Mathematics, Khomeini Shahr Branch, Islamic Azad University, Khomeini Shahr, Isfahan, Iran.
2014 (Engelska)Ingår i: International Journal of Nonlinear Science, ISSN 1749-3889, Vol. 17, nr 1, s. 84-90Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

In this study, we find the exact solution of certain partial differential equations (PDE) by proposingand using the Homo-Separation of Variables method. This novel analytical method is a combination of thehomotopy perturbation method (HPM) with the separation of variables method. The exact solutions are con-structed by choosing an appropriate initial approximation in addition to only one term of the series obtainedby HPM. The proposed method is introduced an efficient tool for solving a wide class of partial differentialequations. It is straight-forward, easy to understand and fast requiring low computational load.

Ort, förlag, år, upplaga, sidor
World Academic Press , 2014. Vol. 17, nr 1, s. 84-90
Nyckelord [en]
biological population model, separation of variables, homotopy perturbation method, backward Klomogorov equation, Fornberg–Whitham equation
Nationell ämneskategori
Beräkningsmatematik
Identifikatorer
URN: urn:nbn:se:umu:diva-229463OAI: oai:DiVA.org:umu-229463DiVA, id: diva2:1896365
Tillgänglig från: 2024-09-10 Skapad: 2024-09-10 Senast uppdaterad: 2024-09-12Bibliografiskt granskad

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Karbalaie, Abdolamir

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