Application of new Kudryashov method to various nonlinear partial differential equations

S Malik, MS Hashemi, S Kumar, H Rezazadeh… - Optical and Quantum …, 2023 - Springer
The purpose of this work is to seek various innovative exact solutions using the new
Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This …

Advancing the frontiers: Revolutionary control and prevention paradigms against Nipah virus

FL Orosco - Open Veterinary Journal, 2023 - ajol.info
Abstract Nipah Virus (NiV) is a highly virulent pathogen that poses a significant threat to
human and animal populations. This review provides a comprehensive overview of the …

Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology

M Alqhtani, KM Owolabi, KM Saad, E Pindza - Chaos, Solitons & Fractals, 2022 - Elsevier
In this work, the solution of Riesz space fractional partial differential equations of parabolic
type is considered. Since fractional-in-space operators have been applied to model …

[HTML][HTML] An efficient technique based on least-squares method for fractional integro-differential equations

Y Jia, M Xu, Y Lin, D Jiang - Alexandria Engineering Journal, 2023 - Elsevier
In this paper, we investigate an efficient technique for solving fractional integro-differential
equations (FIDEs) that have numerous applications in various fields of science. The …

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials

Z Avazzadeh, H Hassani, P Agarwal, S Mehrabi… - Soft computing, 2023 - Springer
Tuberculosis (TB) is a deadly contagious disease that affects vital organs of the body,
especially the lungs. Although the disease is preventable, there are still concerns about its …

[HTML][HTML] 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 …

[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 …

Series and closed form solution of Caputo time-fractional wave and heat problems with the variable coefficients by a novel approach

MI Liaqat, A Akgül, M Bayram - Optical and Quantum Electronics, 2024 - Springer
The mathematical efficiency of fractional-order differential equations in modeling real
systems has been established. The first-order and second-order time derivatives are …