Dynamics behaviours of N-kink solitons in conformable Fisher–Kolmogorov–Petrovskii–Piskunov equation

I Ullah - Engineering Computations, 2024 - emerald.com
Purpose This manuscript is related to compute N-kink soliton solutions for conformable
Fisher–Kolmogorov equation (CFKE) by using the generalized extended direct algebraic …

Mathematical modeling and machine learning-based optimization for enhancing biofiltration efficiency of volatile organic compounds

M Sulaiman, OI Khalaf, NA Khan, FS Alshammari… - Scientific Reports, 2024 - nature.com
Biofiltration is a method of pollution management that utilizes a bioreactor containing live
material to absorb and destroy pollutants biologically. In this paper, we investigate …

An efficient numerical approach for fractional multidimensional diffusion equations with exponential memory

J Singh, D Kumar, SD Purohit… - … Methods for Partial …, 2021 - Wiley Online Library
In this article, we suggest a numerical approach based on q‐homotopy analysis Elzaki
transform method (q‐HAETM) to solve fractional multidimensional diffusion equations which …

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] An improved differential transform scheme implementation on the generalized Allen–Cahn​ equation governing oil pollution dynamics in oceanography

TK Akinfe, AC Loyinmi - Partial Differential Equations in Applied …, 2022 - Elsevier
Studies in computational mathematics have taken a fantastic aesthetics in interdisciplinary
fields as researchers in this area have resiliently adopted constructive methods, schemes …

Laplace-residual power series method for solving time-fractional reaction–diffusion model

MN Oqielat, T Eriqat, O Ogilat, A El-Ajou… - Fractal and …, 2023 - mdpi.com
Despite the fact the Laplace transform has an appreciable efficiency in solving many
equations, it cannot be employed to nonlinear equations of any type. This paper presents a …

A solitary wave solution to the generalized Burgers-Fisher's equation using an improved differential transform method: A hybrid scheme approach

TK Akinfe, AC Loyinmi - Heliyon, 2021 - cell.com
In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki
integral transform (an improved version of Laplace transform) and a modified differential …

Application of He's homotopy and perturbation method to solve heat transfer equations: a python approach

P Dumka, PS Pawar, A Sauda, G Shukla… - Advances in Engineering …, 2022 - Elsevier
In this research article, an attempt has been made to solve the linear/nonlinear and
steady/unsteady heat transfer equations using the Homotopy and Perturbation method …

Application of analytical techniques for solving fractional physical models arising in applied sciences

MM AlBaidani, AH Ganie, F Aljuaydi, A Khan - Fractal and Fractional, 2023 - mdpi.com
In this paper, we examined the approximations to the time-fractional Kawahara equation and
modified Kawahara equation, which model the creation of nonlinear water waves in the long …

Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients

MAS Murad - Applied Mathematics-A Journal of Chinese Universities, 2022 - Springer
In this paper, the modified integral equation, namely, Elzaki transformation coupled with the
Adomian decomposition method called Elzaki Adomian decomposition method (EADM) is …