The modified extended tanh method with the Riccati equation for solving the space-time fractional EW and MEW equations

KR Raslan, KK Ali, MA Shallal - Chaos, Solitons & Fractals, 2017 - Elsevier
In this paper, we established a traveling wave solution by using the modified extended tanh
method for space-time fractional nonlinear partial differential equations. The method is used …

Electroosmosis forces EOF driven boundary layer flow for a non-Newtonian fluid with planktonic microorganism: Darcy Forchheimer model

AZ Zaher, KK Ali, KS Mekheimer - … of Numerical Methods for Heat & …, 2021 - emerald.com
Purpose The study of the electro-osmotic forces (EOF) in the flow of the boundary layer has
been a topic of interest in biomedical engineering and other engineering fields. The purpose …

[HTML][HTML] Protracted study on a real physical phenomenon generated by media inhomogeneities

H Almusawa, KK Ali, AM Wazwaz, MS Mehanna… - Results in Physics, 2021 - Elsevier
In this work, we study the dynamical behavior for a real physical application due to the
inhomogeneities of media via analytical and numerical approaches. This phenomenon is …

[HTML][HTML] Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method

MA Shallal, KK Ali, KR Raslan, H Rezazadeh… - Journal of Ocean …, 2020 - Elsevier
In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions
for conformable fractional nonlinear partial differential equations. This method is applied to …

[HTML][HTML] Traveling wave solutions and numerical solutions of Gilson–Pickering equation

KK Ali, MS Mehanna - Results in Physics, 2021 - Elsevier
In this article, we introduce traveling wave solutions of the Gilson–Pickering equation using
two simple methods. Furthermore, we present a numerical study of the Gilson–Pickering …

Energy transport of Williamson nano-fluid over a curved stretching surface by means of FDM

AA Gadelhak, KS Mekheimer, MA Seddeek… - BioNanoScience, 2023 - Springer
This paper investigates two-dimensional incompressible non-Newtonian fluid (Williamson
model) flow through a special type of curvilinear coordinate system. For the importance of …

Approximate solution of MRLW equation in B-spline environment

SR Jena, A Senapati, GS Gebremedhin - Mathematical Sciences, 2020 - Springer
In this paper, the numerical solution of the modified regularized long wave equation is
obtained using a quartic B-spline approach with the help of Butcher's fifth-order Runge …

[PDF][PDF] Exploring unconventional optical soliton solutions for a novel q-deformed mathematical model

KK Ali, WG Alharbi - AIMS Math, 2024 - aimspress.com
This paper presents a significant contribution in the form of a new general equation, namely
the q-deformed equation or the q-deformed tanh-Gordon equation. The introduction of this …

[HTML][HTML] The conservative and fourth-order compact finite difference schemes for regularized long wave equation

B Wang, T Sun, D Liang - Journal of Computational and Applied …, 2019 - Elsevier
In this paper, two conservative and fourth-order compact finite difference schemes are
proposed and analyzed for solving the regularized long wave (RLW) equation. The first …

[HTML][HTML] Analytical and numerical solutions to the (3+ 1)-dimensional Date-Jimbo-Kashiwara-Miwa with time-dependent coefficients

KK Ali, MS Mehanna - Alexandria Engineering Journal, 2021 - Elsevier
In this paper, we implemented the Exp-function method and the extended tanh method to
finds the analytical solutions of one of the important nonlinear partial differential equations …