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Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations
Joint Authors
Kumar, Devendra
Singh, Jagdev
Kiliçman, Adem
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-05
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The main aim of this work is to present a user friendly numerical algorithm based on homotopy perturbation Sumudu transform method for nonlinear fractional partial differential arising in spatial diffusion of biological populations in animals.
The movements are made generally either by mature animals driven out by invaders or by young animals just reaching maturity moving out of their parental territory to establish breeding territory of their own.
The homotopy perturbation Sumudu transform method is a combined form of the Sumudu transform method and homotopy perturbation method.
The obtained results are compared with Sumudu decomposition method.
The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and accurate.
These results reveal that the proposed method is computationally very attractive.
American Psychological Association (APA)
Singh, Jagdev& Kumar, Devendra& Kiliçman, Adem. 2014. Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1014183
Modern Language Association (MLA)
Singh, Jagdev…[et al.]. Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1014183
American Medical Association (AMA)
Singh, Jagdev& Kumar, Devendra& Kiliçman, Adem. Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1014183
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014183