Homotopy analysis method for MHD viscoelastic fluid flow and heat transfer in a channel with a stretching wall

B Raftari, K Vajravelu - … in nonlinear science and numerical simulation, 2012 - Elsevier
In this paper, we analyze the flow and heat transfer characteristics of a
magnetohydrodynamic (MHD) viscoelastic fluid in a parallel plate channel with a stretching …

The use of homotopy analysis method for solving generalized Sylvester matrix equation with applications

M Dehghan, A Shirilord - Engineering with Computers, 2022 - Springer
In this research, we introduce and analyze homotopy analysis method (HAM) for solving
approximately linear matrix equation ∑\limits\limits _ i= 1^ s A_iXB_i+ C= 0∑ i= 1 s A i XB i+ …

[HTML][HTML] Stability analysis, symmetry solutions and conserved currents of a two-dimensional extended shallow water wave equation of fluid mechanics

OD Adeyemo, CM Khalique - Partial Differential Equations in Applied …, 2021 - Elsevier
This paper analytically investigates a new (2+ 1)-dimensional extended shallow water wave
equation. Lie group theory along with direct integration is used to achieve some solutions of …

Exact travelling wave solutions for some important nonlinear physical models

J Lee, R Sakthivel - Pramana, 2013 - Springer
The two-dimensional nonlinear physical models and coupled nonlinear systems such as
Maccari equations, Higgs equations and Schrödinger–KdV equations have been widely …

Application of homotopy analysis method to the determination of vertical sediment concentration distribution with shear-induced diffusivity

P Jain, M Kumbhakar, K Ghoshal - Engineering with computers, 2021 - Springer
The present study revisits the vertical distribution of suspended sediment concentration in an
open channel flow analytically with a special attention to sediment diffusion coefficient. If …

MHD boundary layer flow of a nanofluid passed through a porous shrinking sheet with thermal radiation

S Nadeem, R Ul Haq - Journal of Aerospace Engineering, 2015 - ascelibrary.org
This study examines the series solution for magnetohydrodynamics (MHD) three-
dimensional flow past a porous shrinking sheet. The thermal radiation effects are also taken …

A series solution of the boundary value problem arising in the application of fluid mechanics

Y Khan - International Journal of Numerical Methods for Heat & …, 2018 - emerald.com
Purpose This paper aims to study the two-dimensional steady magneto-hydrodynamic flow
of a second-grade fluid in a porous channel using the homotopy perturbation method (HPM) …

Rotating flow of Oldroyd-B fluid over stretchable surface with Cattaneo–Christov heat flux: analytic solutions

M Mustafa, T Hayat, A Alsaedi - … of Numerical Methods for Heat & …, 2017 - emerald.com
Purpose The purpose of this paper is to analyze the heat transfer effects on the stretched
flow of Oldroyd-B fluid in a rotating frame. Cattaneo–Christov heat conduction model is …

Radiation effect on the mixed convection flow of a viscoelastic fluid along an inclined stretching sheet

M Qasim, T Hayat, S Obaidat - Zeitschrift für Naturforschung A, 2012 - degruyter.com
This study concentrates on the heat transfer analysis of the steady flow of viscoelastic fluid
along an inclined stretching surface. Analysis has been carried out in the presence of …

A numerical method to solve the 1D and the 2D reaction diffusion equation based on Bessel functions and Jacobian free Newton-Krylov subspace methods

K Parand, M Nikarya - The European Physical Journal Plus, 2017 - Springer
In this paper a novel method will be introduced to solve a nonlinear partial differential
equation (PDE). In the proposed method, we use the spectral collocation method based on …