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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/34687/ http://psasir.upm.edu.my/id/eprint/34687/1/Numerical%20Solutions%20of%20Nonlinear%20Fractional%20Partial%20Differential.pdf |
| _version_ | 1848847843471654912 |
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| author | Singh, Jagdev Kumar, Devendra Kilicman, Adem |
| author_facet | Singh, Jagdev Kumar, Devendra Kilicman, Adem |
| author_sort | Singh, Jagdev |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:25:03Z |
| format | Article |
| id | upm-34687 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:25:03Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Singh, Jagdev Kumar, Devendra Kilicman, Adem Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/34687/ http://psasir.upm.edu.my/id/eprint/34687/ http://psasir.upm.edu.my/id/eprint/34687/ http://psasir.upm.edu.my/id/eprint/34687/1/Numerical%20Solutions%20of%20Nonlinear%20Fractional%20Partial%20Differential.pdf |