Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations

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 animal...

Full description

Saved in:
Bibliographic Details
Main Authors: Singh, Jagdev, Kumar, Devendra, Kilicman, Adem
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/34687/1/Numerical%20Solutions%20of%20Nonlinear%20Fractional%20Partial%20Differential.pdf
http://psasir.upm.edu.my/id/eprint/34687/
http://www.hindawi.com/journals/aaa/2014/535793/
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Universiti Putra Malaysia
Language: English
id my.upm.eprints.34687
record_format eprints
spelling my.upm.eprints.346872017-10-19T09:13:33Z http://psasir.upm.edu.my/id/eprint/34687/ Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations Singh, Jagdev Kumar, Devendra Kilicman, Adem 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. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/34687/1/Numerical%20Solutions%20of%20Nonlinear%20Fractional%20Partial%20Differential.pdf Singh, Jagdev and Kumar, Devendra and Kilicman, Adem (2014) Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations. Abstract and Applied Analysis, 2014. art. no. 535793. pp. 1-12. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/2014/535793/ 10.1155/2014/535793
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Singh, Jagdev
Kumar, Devendra
Kilicman, Adem
spellingShingle Singh, Jagdev
Kumar, Devendra
Kilicman, Adem
Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
author_facet Singh, Jagdev
Kumar, Devendra
Kilicman, Adem
author_sort Singh, Jagdev
title Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
title_short Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
title_full Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
title_fullStr Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
title_full_unstemmed Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
title_sort numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
publisher Hindawi Publishing Corporation
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/34687/1/Numerical%20Solutions%20of%20Nonlinear%20Fractional%20Partial%20Differential.pdf
http://psasir.upm.edu.my/id/eprint/34687/
http://www.hindawi.com/journals/aaa/2014/535793/
_version_ 1643831228558737408