Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method

Naik, Parvaiz Ahmad; Zu, Jian; Ghoreishi, M.

doi:10.1016/j.chaos.2019.109500

Cited by 49 publications

(28 citation statements)

References 36 publications

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“…The dimensionless governing model mentioned in Equations (9)–(11) and subjected boundary conditions of Equation (12) for boundary layer flow of hybrid nanofluid over the stretching disk is analytically solved by employing the homotopy analysis method [ 7 , 37 , 38 , 39 ]. For flow variables, initial guesses are:

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Section: Homotopy Analysis Methods and Convergence Of Solutionsmentioning

confidence: 99%

Entropy Generation Analysis and Radiated Heat Transfer in MHD (Al2O3-Cu/Water) Hybrid Nanofluid Flow

et al. 2021

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This research concerns the heat transfer and entropy generation analysis in the MHD axisymmetric flow of Al2O3-Cu/H2O hybrid nanofluid. The magnetic induction effect is considered for large magnetic Reynolds number. The influences of thermal radiations, viscous dissipation and convective temperature conditions over flow are studied. The problem is modeled using boundary layer theory, Maxwell’s equations and Fourier’s conduction law along with defined physical factors. Similarity transformations are utilized for model simplification which is analytically solved with the homotopy analysis method. The h-curves upto 20th order for solutions establishes the stability and convergence of the adopted computational method. Rheological impacts of involved parameters on flow variables and entropy generation number are demonstrated via graphs and tables. The study reveals that entropy in system of hybrid nanofluid affected by magnetic induction declines for [...]

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…”

Section: Homotopy Analysis Methods and Convergence Of Solutionsmentioning

confidence: 99%

Entropy Generation Analysis and Radiated Heat Transfer in MHD (Al2O3-Cu/Water) Hybrid Nanofluid Flow

et al. 2021

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“…Modeling different phenomena, solving the model by efficient methods and also control and adjust their parameters are one of the important topics of bio-mathematics which have direct relation with human life. Thus, many mathematicians have been focused on various mathematical models such as energy supply-demand model [1], SIR epidemic model [2], HIV infection [3][4][5], model of smoking habit [6], bovine babesiosis disease [7], model of computer viruses [8][9][10] and many other models. Malaria is one of the important infections for which various models have been proposed to control, prevent and transmit.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Strategy to Control the Accuracy of the Nonlinear Bio-Mathematical Model of Malaria Infection

Noeiaghdam

Micula

2021

Mathematics

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This study focuses on solving the nonlinear bio-mathematical model of malaria infection. For this aim, the HATM is applied since it performs better than other methods. The convergence theorem is proven to show the capabilities of this method. Instead of applying the FPA, the CESTAC method and the CADNA library are used, which are based on the DSA. Applying this method, we will be able to control the accuracy of the results obtained from the HATM. Also the optimal results and the numerical instabilities of the HATM can be obtained. In the CESTAC method, instead of applying the traditional absolute error to show the accuracy, we use a novel condition and the CESTAC main theorem allows us to do that. Plotting several ℏ-curves the regions of convergence are demonstrated. The numerical approximations are obtained based on both arithmetics.

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“…There are three well-known versions used as popular techniques to determine the expansion coefficients, namely collocation, tau, and Galerkin methods. Classical orthogonal polynomials are used successfully and extensively for the numerical solution of differential equations in spectral methods (see [6][7][8][9][10][11][12][13][14][15][16][17][18]).…”

Section: Introductionmentioning

confidence: 99%

A Finite Difference-Spectral Method for Solving the European Call Option Black–Scholes Equation

Talaei¹,

Hosseinzadeh²,

Noeiaghdam³

2021

MMEP

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In this paper, we present a novel technique based on backward-difference method and Galerkin spectral method for solving Black–Scholes equation. The main propose of this method is to reduce the solution of this problem to the solution of a system of algebraic equations. The convergence order of the proposed method is investigated. Also, we provide numerical experiment to show the validity of proposed method.

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Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method

Cited by 49 publications

References 36 publications

Entropy Generation Analysis and Radiated Heat Transfer in MHD (Al2O3-Cu/Water) Hybrid Nanofluid Flow

Entropy Generation Analysis and Radiated Heat Transfer in MHD (Al2O3-Cu/Water) Hybrid Nanofluid Flow

Dynamical Strategy to Control the Accuracy of the Nonlinear Bio-Mathematical Model of Malaria Infection

A Finite Difference-Spectral Method for Solving the European Call Option Black–Scholes Equation

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