Edeki, S.O. and Ogundile, O. P. and Osoba, B. and Adeyemi, Gideon Adewale and Egara, F. O. and Ejoh, Akpoyovware S. (2018) Coupled FCT-HP for Analytical Solutions of the Generalized Timefractional Newell-Whitehead-Segel Equation. WSEAS TRANSACTIONS on SYSTEMS and CONTROL, 13. pp. 266-274. ISSN 2224-2856
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Abstract
This paper considers the generalized form of the time-fractional Newell-Whitehead-Segel model (TFNWSM) with regard to exact solutions via the application of Fractional Complex Transform (FCT) coupled with He’s polynomials method of solution. This is applied to two forms of the TFNWSM viz: nonlinear and linear forms of the time-fractional NWSM equation whose derivatives are based on Jumarie’s sense. The results guarantee the reliability and efficiency of the proposed method with less computation time while still maintaining high level of accuracy.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Fractional calculus, Fractional complex transform, Adomian Decomposition method, Analytical solution; He’s polynomials. |
| Subjects: | Q Science > QA Mathematics T Technology > T Technology (General) T Technology > TA Engineering (General). Civil engineering (General) |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Civil Engineering and the Environment |
| Depositing User: | Mrs Hannah Akinwumi |
| Date Deposited: | 12 Sep 2018 10:05 |
| Last Modified: | 12 Sep 2018 10:05 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/11545 |
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