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Using Homo-Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations
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
KTH, School of Technology and Health (STH), Health Systems Engineering, Systems Safety and Management.ORCID iD: 0000-0002-1929-135X
2013 (English)In: International journal of mathematics and mathematical sciences, ISSN 0161-1712, E-ISSN 1687-0425, Vol. 2013, 8- p.Article in journal (Refereed) Published
Abstract [en]

A new method proposed and coined by the authors as the homo-separation of variables method is utilized to solve systems oflinear and nonlinear fractional partial differential equations (FPDEs). The new method is a combination of two well-establishedmathematical methods, namely, the homotopy perturbation method (HPM) and the separation of variables method. Whencompared to existing analytical and numerical methods, the method resulting from our approach shows that it is capable ofsimplifying the target problem at hand and reducing the computational load that is required to solve it, considerably.The efficiencyand usefulness of this new general-purposemethod is verified by several examples, where different systems of linear and nonlinearFPDEs are solved.

Place, publisher, year, edition, pages
Hindawi Publishing Corporation, 2013. Vol. 2013, 8- p.
Keyword [en]
Homo-Separation of Variables
National Category
Computational Mathematics
Research subject
SRA - ICT
Identifiers
URN: urn:nbn:se:kth:diva-123952DOI: 10.1155/2013/421378Scopus ID: 2-s2.0-84879317800OAI: oai:DiVA.org:kth-123952DiVA: diva2:631190
Note

QC 20130710

Available from: 2013-06-20 Created: 2013-06-20 Last updated: 2017-12-06Bibliographically approved

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Karbalaie, AbdolamirHamid Muhammed, HamedErlandsson, Björn-Erik

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