Magnetohydrodynamic tangent hyperbolic fluid flow past a stretching sheet

Z Ullah, G Zaman, A Ishak - Chinese Journal of Physics, 2020 - Elsevier
In this article, we investigate the MHD tangent hyperbolic fluid flow along a stretching sheet
with suction/injection effect at the boundary. The governing nonlinear partial differential …

Thermal diffusion of Maxwell nanoparticles with diverse flow features: Lie group simulations

B Ahmad, A Nawaz, K Smida, SU Khan, MI Khan… - … Communications in Heat …, 2022 - Elsevier
The thermal onset of nanoparticles is quite impressive and dynamical and subsequently
report significance in the thermal systems, heat transfer enhancement, engineering …

Lie symmetries reduction and spectral methods on the fractional two-dimensional heat equation

R Bakhshandeh-Chamazkoti, M Alipour - Mathematics and Computers in …, 2022 - Elsevier
In this paper, the Lie symmetry analysis is proposed for a space–time convection–diffusion
fractional differential equations with the Riemann–Liouville derivative by (2+ 1) independent …

Lie group analysis for nanofluid flow past a convectively heated stretching surface

K Das - Applied Mathematics and computation, 2013 - Elsevier
The steady MHD boundary layer flow of an electrically conducting nanofluid past a vertical
convectively heated permeable stretching surface with variable stream conditions in …

Lie group analysis for the effect of temperature-dependent fluid viscosity with thermophoresis and chemical reaction on MHD free convective heat and mass transfer …

R Kandasamy, I Muhaimin, HB Saim - Communications in Nonlinear …, 2010 - Elsevier
This paper concerns with a steady two-dimensional flow of an electrically conducting
incompressible fluid over a vertical stretching sheet. The flow is permeated by a uniform …

Lie group analysis of stagnation-point flow of a nanofluid

K Das - Microfluidics and nanofluidics, 2013 - Springer
This article concerns with a steady two-dimensional boundary layer flow of an electrically
conducting incompressible nanofluid over a stretching sheet in a porous medium with …

On some differential invariants for a family of diffusion equations

ML Gandarias, M Torrisi, R Tracina - Journal of Physics A …, 2007 - iopscience.iop.org
The equivalence transformation algebra LE and some of its differential invariants for the
class of equations ut=(h (u) ux) x+ f (x, u, ux)(h≠ 0) are obtained. Using these invariants, we …

Lie group analysis of two-dimensional variable-coefficient Burgers equation

NM Ivanova, C Sophocleous, R Tracinà - Zeitschrift für angewandte …, 2010 - Springer
The modern group analysis of differential equations is used to study a class of two-
dimensional variable coefficient Burgers equations. The group classification of this class is …

Symmetry group classification for general Burgers' equation

M Nadjafikhah, R Bakhshandeh-Chamazkoti - … in Nonlinear Science and …, 2010 - Elsevier
The present paper solves the problem of the group classification of the general Burgers'
equation ut= f (x, u) ux2+ g (x, u) uxx, where f and g are arbitrary smooth functions of the …

Differential invariants of the one-dimensional quasi-linear second-order evolution equation

NH Ibragimov, C Sophocleous - Communications in Nonlinear Science and …, 2007 - Elsevier
We consider evolution equations of the form ut= f (x, u, ux) uxx+ g (x, u, ux) and ut= uxx+ g (x,
u, ux). In the spirit of the recent work of Ibragimov [Ibragimov NH. Laplace type invariants for …