Exact solutions of the cubic Boussinesq and the coupled Higgs system

Abdelrahman, Azza; Alkhidhr, A Hanan; Băleanu, Dumitru

doi:10.2298/tsci20s1333a

Cited by 12 publications

(12 citation statements)

References 34 publications

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“…Therefore by the improvement of radiations impacts the temperature of the liquid increases in return profile upsurges. The recovered results match with the temperature profile pattern of Shaheen et al [40]. Figure 3…”

Section: Resultssupporting

confidence: 83%

Energy and mass transfer analysis of 3-D boundary-layer flow over a rotating disk with Brownian motion and thermo-phoretic effects

Rafique¹,

Alghamd

Alotaibi

2022

THERM SCI

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The advancement of nanofluid technology has become an essential tool for investigating thermal conductivity enhancement, which is highly valuable for industrial and engineering applications in many fields including mathematics, physics, engineering, and materials science. This analysis focuses on 3-D boundary-layer flow on nanofluid over a rotating disk by incorporating chemical reaction and thermal radiations effects. One aim of this article is to analyze the energy and mass transport rates for nanofluids. In this study, the Brownian motion and thermophoretic impacts are considered. The governing flow equations are converted to ODE via suitable similarity transformations. The resulting equations were solved via well know technique Keller box method. This analysis revealed that the azimuthal and axial velocities show an inverse pattern against the various values of index factor, n, although the radial velocity has the highest value and decreases significantly. The behavior of the von Karman flow is also recovered for setting the index factor (n = 1). Moreover, it is found that the temperature of nano liquid increases by increasing the Brownian motion and thermophoretic factors.

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Section: Resultssupporting

confidence: 83%

Energy and mass transfer analysis of 3-D boundary-layer flow over a rotating disk with Brownian motion and thermo-phoretic effects

Rafique¹,

Alghamd

Alotaibi

2022

THERM SCI

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“…. With similar ideas, it is worthwhile to extend some existing models [17][18][19][20] to fractional-order cases.…”

Section: Reduction and Solutions Of Fractional System (1)mentioning

confidence: 99%

Application of Jordan canonical form and symplectic matrix in fractional differential models

Shi

Zhang

et al. 2022

THERM SCI

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Under consideration of this paper is the application of Jordan canonical form and symplectic matrix to two conformable fractional differential models. One is the new conformable fractional vector conduction equation which is reduced by using the Jordan canonical form of coefficient matrix and solved exactly, and the other is the new conformable fractional vector dynamical system with Hamilton matrix and symplectic matrix, which is derived by constructing the conformable fractional Euler-Lagrange equation and using fractional variational principle. It is shown that Jordan canonical form and symplectic matrix can be used to deal with some other conformable fractional differential systems in mathematical physics.

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“…In comparison the global meshless version, these approaches yield sparse matrices that are well-conditioned and are less sensitive to shap parameter selection. These methods have recently undertaken testing in several applications [9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of 3-D Sobolev equation via local meshless method

et al. 2022

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In this study, we use an effective meshless method to estimate the numerical solution of 3-D time-fractional Sobolev equation. The recommended meshless method is used for the spatial derivatives while the Liouville-Caputo derivative technique is utilized for the time derivative portion of the model equation. Accuracy of the method is assessed via error norms and comparison is made with the exact solution and other numerical methods given in more current literature, which demonstrated that the suggested strategy produces excellent performance and is more computationally efficient.

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Exact solutions of the cubic Boussinesq and the coupled Higgs system

Cited by 12 publications

References 34 publications

Energy and mass transfer analysis of 3-D boundary-layer flow over a rotating disk with Brownian motion and thermo-phoretic effects

Energy and mass transfer analysis of 3-D boundary-layer flow over a rotating disk with Brownian motion and thermo-phoretic effects

Application of Jordan canonical form and symplectic matrix in fractional differential models

Numerical simulation of 3-D Sobolev equation via local meshless method

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