An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics.
In this paper, a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and subsequently Reduced Differential Transform Method (RDTM) is applied on the transformed system of linear and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2014-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC4272263?pdf=render |
| _version_ | 1819104211367886848 |
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| author | Jamshad Ahmad Syed Tauseef Mohyud-Din |
| author_facet | Jamshad Ahmad Syed Tauseef Mohyud-Din |
| author_sort | Jamshad Ahmad |
| collection | DOAJ |
| description | In this paper, a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and subsequently Reduced Differential Transform Method (RDTM) is applied on the transformed system of linear and nonlinear time-fractional PDEs. The results so obtained are re-stated by making use of inverse transformation which yields it in terms of original variables. It is observed that the proposed algorithm is highly efficient and appropriate for fractional PDEs and hence can be extended to other complex problems of diversified nonlinear nature. |
| first_indexed | 2024-12-22T02:02:45Z |
| format | Article |
| id | doaj.art-063042e162fb43899c18dba3c2c5dc29 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-22T02:02:45Z |
| publishDate | 2014-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-063042e162fb43899c18dba3c2c5dc292022-12-21T18:42:36ZengPublic Library of Science (PLoS)PLoS ONE1932-62032014-01-01912e10912710.1371/journal.pone.0109127An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics.Jamshad AhmadSyed Tauseef Mohyud-DinIn this paper, a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and subsequently Reduced Differential Transform Method (RDTM) is applied on the transformed system of linear and nonlinear time-fractional PDEs. The results so obtained are re-stated by making use of inverse transformation which yields it in terms of original variables. It is observed that the proposed algorithm is highly efficient and appropriate for fractional PDEs and hence can be extended to other complex problems of diversified nonlinear nature.http://europepmc.org/articles/PMC4272263?pdf=render |
| spellingShingle | Jamshad Ahmad Syed Tauseef Mohyud-Din An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics. PLoS ONE |
| title | An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics. |
| title_full | An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics. |
| title_fullStr | An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics. |
| title_full_unstemmed | An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics. |
| title_short | An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics. |
| title_sort | efficient algorithm for some highly nonlinear fractional pdes in mathematical physics |
| url | http://europepmc.org/articles/PMC4272263?pdf=render |
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