New method for investigating the density-dependent diffusion Nagumo equation

Akgül, Ali; Hashemi, Mir Sajjad; Băleanu, Dumitru; Khan, Hasib

doi:10.2298/tsci170613280a

Cited by 17 publications

(9 citation statements)

References 12 publications

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“…They noted that the thermal boundary-layer thickness is increased with the increase in the values of thermophoresis parameter. Authors in [26][27][28][29], have discussed the various trends of heat and mass transfer by using some new techniques of solution. Taking idea from [1][2][3][4][5], we obtained a numerical solution for periodic fluid-flow phenomena along the surface of thermally and electrically conducting cone.…”

Section: Introductionmentioning

confidence: 99%

Periodic mixed convection flow along the surface of a thermally and electrically conducting cone

Ilyas

Ashraf

2020

THERM SCI

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The main aim of the present work is to highlight the significances of periodic mixed convection flow and heat transfer characteristics along the surface of magnetized cone by exerting magnetic field exact at the surface of the cone. The numerical simulations of coupled non-dimensional equations are computed in terms of velocity field, temperature and magnetic field concentration and then used to examine the periodic components of skin friction, ?w, heat transfer, qw, and current density, jw, for various governing parameters. A nice periodic behavior of heat transfer qw is concluded for each value of mixed convection parameter, ?, but maximum periodicity is sketched at ? = 50. It is also computed that the lower value of magnetic Prandtl number ? = 0.1 gets poor amplitude in current density but highest amplitude is sketched for higher ? = 0.5. The behavior of heat and fluid-flow in the pres?ence of aligned magnetic field is associated with the phase angle and amplitude of oscillation. It is also noted that due to the increase in magnetic force parameter, ?, there are wave like disturbances generate within the fluid layers. These disturbances are basically hydromagnetic waves which becomes more prominent as the strength of magnetic force parameter is increased.

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Section: Introductionmentioning

confidence: 99%

Periodic mixed convection flow along the surface of a thermally and electrically conducting cone

Ilyas

Ashraf

2020

THERM SCI

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“…Since phenomena can be described more accurately via fractional derivative. Due to this reasons, the analytical and numerical methods have increasingly been used to solve fractional models, see [10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Numerical computation of the time non-linear fractional generalized equal width model arising in shallow water channel

et al. 2020

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The generalized equal width model is an important non-linear dispersive wave model which is naturally used to describe physical situations in a water channel. In this work, we implement the idea of the interpolation by radial basis function to obtain numerical solution of the non-linear time fractional generalized equal width model defined by Caputo sense. In this technique, firstly, a time discretization is accomplished via the finite difference approach and the non-linear term is linearized by a linearization method. Afterwards, with the help of the radial basis function approximation method is used to discretize the spatial derivative terms. The stability of the method is theoretically discussed using the von Neumann (Fourier series) method. Numerical results and comparisons are presented which illustrate the validity and accuracy of our proposed concepts.

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“…Ashraf et al [14] numerically investigated the periodic momentum and thermal boundary-layer mixed convection flow and oscillating convection flow [15] at various angles of a sphere in the presence of viscous dissipation. Authors [16][17][18][19][20][21], have studied the different cases of heat and mass transfer by using some new trends of solution. Ashraf et al [22] analyzed the free convection flow along a curved surface by considering the exothermic catalytic chemical reaction numerically.…”

Section: Introductionmentioning

confidence: 99%

Modeling and analysis of the impact of exothermic catalytic chemical reaction and viscous dissipation on natural convection flow driven along a curved surface

et al. 2020

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The impact of exothermic catalytic chemical reaction and viscous dissipation on natural-convection heat transfer along the curved shape is investigated. In this study, the trend of exothermic catalytic chemical reaction has been introduced in the energy and mass concentration equation. Furthermore, the tangential compo?nent of acceleration due to gravity, gx, as buoyancy force has coupled in momentum equation describe the curved shape. The flow model of the problem is formulated in terms of coupled non-linear PDE together with suitable boundary conditions. From the numerical solutions of the governing equations, it is found that velocity field, temperature distribution and the mass concentration is associated with the dimensionless parameters involved in the flow model. The novelty of the current study is that the characteristics of heat and fluid-flow mechanism are specifically associated with the different values of index parameter n.

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New method for investigating the density-dependent diffusion Nagumo equation

Cited by 17 publications

References 12 publications

Periodic mixed convection flow along the surface of a thermally and electrically conducting cone

Periodic mixed convection flow along the surface of a thermally and electrically conducting cone

Numerical computation of the time non-linear fractional generalized equal width model arising in shallow water channel

Modeling and analysis of the impact of exothermic catalytic chemical reaction and viscous dissipation on natural convection flow driven along a curved surface

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