An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations
| Autor: | Rasool Shah, Ravi P. Agarwal, Fatemah Mofarreh, Waewta Luangboon, Kamsing Nonlaopon |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
fractional-order parabolic equations
Partial differential equation Science Physics QC1-999 Analytical technique General Physics and Astronomy Astrophysics Parabolic partial differential equation natural transform decomposition method Article QB460-466 Exact solutions in general relativity Integer Simple (abstract algebra) Applied mathematics Caputo–Fabrizio operator Closed-form expression Adomian decomposition method Mathematics |
| Zdroj: | Entropy, Vol 23, Iss 1086, p 1086 (2021) Entropy Volume 23 Issue 8 |
| ISSN: | 1099-4300 |
| Popis: | This research article is dedicated to solving fractional-order parabolic equations using an innovative analytical technique. The Adomian decomposition method is well supported by natural transform to establish closed form solutions for targeted problems. The procedure is simple, attractive and is preferred over other methods because it provides a closed form solution for the given problems. The solution graphs are plotted for both integer and fractional-order, which shows that the obtained results are in good contact with the exact solution of the problems. It is also observed that the solution of fractional-order problems are convergent to the solution of integer-order problem. In conclusion, the current technique is an accurate and straightforward approximate method that can be applied to solve other fractional-order partial differential equations. |
| Databáze: | OpenAIRE |
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