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Exact Solution of Partial Differential Equation Using Homo-Separation of Variables
KTH, School of Technology and Health (STH), Health Systems Engineering, Systems Safety and Management.ORCID iD: 0000-0001-7320-2306
KTH, School of Technology and Health (STH), Health Systems Engineering, Systems Safety and Management.ORCID iD: 0000-0002-1831-9285
Sahin Shahr, Isfahan, Iran.
Khomeini Shahr, Isfahan,Iran.
2014 (English)In: International Journal of Nonlinear Science, ISSN 1749-3889, Vol. 17, no 1, 84-90 p.Article in journal (Refereed) Published
Abstract [en]

In this study, we find the exact solution of certain partial differential equations (PDE) by proposing and using the Homo-Separation of Variables method. This novel analytical method is a combination of the homotopy 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 obtained by HPM. The proposed method is introduced an efficient tool for solving a wide class of partial differential equations. It is straight-forward, easy to understand and fast requiring low computational load.

Place, publisher, year, edition, pages
2014. Vol. 17, no 1, 84-90 p.
Keyword [en]
biological population model, separation of variables, homotopy perturbation method, backward Klomogorov equation, Fornberg-Whitham equation
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-153938OAI: oai:DiVA.org:kth-153938DiVA: diva2:754176
Note

QC 20141218

Available from: 2014-10-09 Created: 2014-10-09 Last updated: 2014-12-18Bibliographically approved

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Karbalaie, AbdolamirHamid Muhammed, Hamed

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