[HTML][HTML] On traveling wave solutions with bifurcation analysis for the nonlinear potential Kadomtsev-Petviashvili and Calogero–Degasperis equations

SMR Islam, US Basak - Partial Differential Equations in Applied …, 2023 - Elsevier
In this study, we delve into the exploration of the (2+ 1)-dimensional potential Kadomtsev-
Petviashvili (pKP) and Calogero–Degasperis equation (CDE) models, which hold significant …

Modelling the impact of some control strategies on the transmission dynamics of Ebola virus in human-bat population: An optimal control analysis

JO Agbomola, AC Loyinmi - Heliyon, 2022 - cell.com
Qualitative research and comprehensive public awareness to nip the transmission of Ebola
virus in the bud before it becomes a global threat is fast becoming imperative especially now …

[HTML][HTML] A reliable analytic technique for the modified prototypical Kelvin–Voigt viscoelastic fluid model by means of the hyperbolic tangent function

KT Akinfe - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
Inspired by the extensive applicability of solitons in nonlinear optics, advanced
telecommunication industry, trans-continental, and trans-oceanic systems, coupled with the …

[HTML][HTML] The implementation of an improved differential transform scheme on the Schrodinger equation governing wave-particle duality in quantum physics and optics

KT Akinfe, AC Loyinmi - Results in physics, 2022 - Elsevier
Seeking solutions to nonlinear differential equations cannot be overemphasized as this
illuminates clarity in the dynamical behavior of the described model, and thus, enables …

[PDF][PDF] Impact of contaminated surfaces on the transmission dynamics of corona virus disease (Covid-19)

KO Idowu, AC Loyinmi - Biomed J. Sci. Tech. Res, 2023 - researchgate.net
We assumed a homogeneously mixed population and that the disease does not only spread
by direct contact with an infected individual but also by touching infected surfaces …

Semi-analytic approach to solving rosenau-hyman and korteweg-de vries equations using integral transform

AC Loyinmi, KO Idowu - Tanzania Journal of Science, 2023 - ajol.info
In this research, we proposed the fusing of Elzaki transform and projected differential
transform (PDTM) to obtain an analytical or approximate solution of the Rosenau-Hyman …

[HTML][HTML] An estimation of temperature in living tissue using a fractional model with sinusoidal heat flux conditions on the skin surface

DG Yakubu, S Markus, L Dahiru, I Abdullahi, GA Tahiru… - Scientific African, 2023 - Elsevier
An accurate and quantitative description of the thermal responses of skin tissue under
sinusoidal heat flux conditions on the skin surface is provided in this study using a fractional …

[PDF][PDF] Laplace Homotopy Perturbation Method (LHPM) for Solving Systems of N-Dimensional Non-Linear Partial Differential Equation

KO Idowu, TG Akinwande, I Fayemi, UM Adam… - Al-Bahir Journal for …, 2023 - iasj.net
In this research, we proposed coupling the Laplace transform method and the homotopy
Perturbation Method (LHPM). We employed the fusion of the Laplace method to make up for …

[PDF][PDF] THE ANALYTIC SOLUTION OF NON-LINEAR BURGERS–HUXLEY EQUATIONS USING THE TANH METHOD

KO Idowu, AC Loyinmi - Al-Bahir journal for Engineering and Pure Sciences, 2023 - iasj.net
The emergence of the BurgerseHuxley equation (which involves the famous Burgers
equation and the Huxley equation) to predict response systems, dispersion moves, and …

Fractal-view analysis of local fractional Fokker–Planck equation occurring in modelling of particle's Brownian motion

J Singh, VP Dubey, D Kumar, S Dubey… - Optical and Quantum …, 2024 - Springer
In this paper, the solution and behaviour of local fractional Fokker–Planck equation (LFFPE)
is investigated in fractal media. For this purpose, the local fractional homotopy perturbation …