Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations

F Liu, Y Wang, S Li - International Journal of Computer …, 2018 - Taylor & Francis
The coupled viscous Burgers' equations have been an interesting and hot topic in
mathematics and physics for a long time, and they have been solved by many methods. In …

[HTML][HTML] Investigation of adequate closed form travelling wave solution to the space-time fractional non-linear evolution equations

MA Arefin, MA Khatun, MH Uddin, M Inc - Journal of Ocean Engineering …, 2022 - Elsevier
This work aims to construct exact solutions for the space-time fractional (2+ 1)-dimensional
dispersive longwave (DLW) equation and approximate long water wave equation (ALW) …

[HTML][HTML] Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers' equations numerically

AR Hadhoud, HM Srivastava, AAM Rageh - Advances in Difference …, 2021 - Springer
This paper proposes two numerical approaches for solving the coupled nonlinear time-
fractional Burgers' equations with initial or boundary conditions on the interval 0, L 0,L. The …

[HTML][HTML] A new ZK-ILW equation for algebraic gravity solitary waves in finite depth stratified atmosphere and the research of squall lines formation mechanism

M Guo, Y Zhang, M Wang, Y Chen, H Yang - Computers & Mathematics …, 2018 - Elsevier
The research of algebraic gravity solitary waves is an advanced field which has important
practical and theoretical value in physical, oceanography, aerology and etc. By calculation …

An approach for computational blood flow under the joint effects of the electro-osmotic, magnetic field, chemical reaction and porosity

TAJ Al-Griffi, ASJ Ali Al-Saif - Engineering Computations, 2023 - emerald.com
Purpose The purpose of this study is to analyze the two-dimensional blood flow in the artery
slant from the axis at an angle with mild stenosis under the joint effects of the electro …

Yang transform–homotopy perturbation method for solving a non‐Newtonian viscoelastic fluid flow on the turbine disk

TAJ Al‐Griffi, ASJ Al‐Saif - ZAMM‐Journal of Applied …, 2022 - Wiley Online Library
In this paper, a new method is suggested and implemented to find an analytical approximate
solution for a non‐Newtonian viscoelastic fluid flow on the turbine disk, used to cool the …

Analytical Simulation for Transient Natural Convection in a‎ Horizontal Cylindrical Concentric Annulus

ASJ Al-Saif, TAJ Al-Griffi - Journal of Applied and Computational …, 2021 - jacm.scu.ac.ir
In this study, a new scheme is suggested to find the analytical approximating solutions for a
two-dimensional transient natural convection in a horizontal cylindrical concentric annulus …

[HTML][HTML] A generalized class one static solution

KN Singh, P Bhar, M Laishram, F Rahaman - Heliyon, 2019 - cell.com
In literature, there are three simplest methods of solving Einstein's field equations,
namely,(a) assuming conformally flat spacetime,(b) using conformal killing vector and (c) …

[HTML][HTML] Studying the Effects of Electro-osmotic and Several Parameters on Blood Flow in Stenotic Arteries Using CAGHPM

MS Abdul-Wahab, ASJA AL-Saif - Partial Differential Equations in Applied …, 2024 - Elsevier
In this investigation, a new approach is proposed to study blood flow through a stenotic
artery under the impact of electro-osmosis and several other main parameters. The new …

[PDF][PDF] Analytical approximate solution of heat conduction equation using new homotopy perturbation method

N Gupta, N Kanth - Matrix Science Mathematic (MSMK), 2019 - matrixsmathematic.com
In this paper, the analytic solution of one-dimensional heat conduction equation is obtained
by means of new homotopy perturbation method. This method is effectively applied to obtain …