https://doi.org/10.1140/epjs/s11734-023-00916-3
Regular Article
Dynamical analysis of fractional-order Burger–Huxley equation using efficient numerical methods
1
School of Technology, Woxsen University, 502345, Hyderabad, Telangana, India
2
Department of Mathematical Sciences, UAE University, 15551, Al-Ain, UAE
Received:
2
March
2023
Accepted:
2
July
2023
Published online:
2
August
2023
This work presents the numerical solutions to the Burger–Huxley partial differential equations. With the use of various fractional derivatives and classical derivatives, Burger–Huxley equation solutions are shown. The Newton polynomial and Adams–Bashforth approach both recommend a numerical approximation. Also, a numerical simulation of the equations various variables is shown. The numerical examples show how the approach is accurate and effective.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.