27–31 May 2024
OAU Campus, Ile-Ife, Nigeria
Africa/Lagos timezone

SOLUTION OF THE FRACTIONAL BURGER-HUXLEY EQUATION OF THE CAPUTO-FABRIZIO TYPE USING THE ABOODH TRANSFORM METHOD WITH THE REDUCED DIFFERENTIAL POLYNOMIALS

28 May 2024, 12:40
10m
AFRIGIST, Main - Conference Hall (OAU Campus, Ile-Ife, Nigeria)

AFRIGIST, Main - Conference Hall

OAU Campus, Ile-Ife, Nigeria

Road 1, O.A.U Campus
250

Speaker

Adepeju Abimbola Oyewumi (LAUTECH)

Description

Author #1
Abimbola A. Oyewumi
Ladoke Akintola University of Technology Ogbomoso, Oyo state
e-mail:aaoyewumi53@lautech.edu.ng
Author #2
Rasaq A. Oderinu
Ladoke Akintola University of Technology Ogbomoso, Oyo state
e-mail:raoderinu@lautech.edu.ng
ICAWMSCS 2024
Keywords: Aboodh transform, Reduced differential polynomial, Burger-Huxley equation and
Caputo-Fabrizio fractional derivative.
Abstract
The Aboodh transform method was combined with the reduced differential polynomials
to solve the Fractional Burger-Huxley(FB-H) equation of the Caputo-Fabrizio type. The
general Burger-Huxley equation which is a nonlinear partial differential equation that
models the interplay between the reaction mechanisms, convective effects and diffusion
transport observed in many biological and physical systems is analyzed. The results
gotten are showcased in tabular and graphical forms to explain the performance and
efficiency of the combined methods. It is discovered that the results derived are close to
the exact solution of the problems illustrated. This work will thus make it simple to
study nonlinear process that arise in various aspect of innovations and researches.

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