An analytical solution of the time-fractional telegraph equation describing neutron transport in a nuclear reactor

Tawfik, Ashraf M.; Abdou, M. A.; Gepreel, Khaled A.

doi:10.1007/s12648-021-02017-0

Cited by 5 publications

(1 citation statement)

References 37 publications

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“…Many of these phenomena have recently been discussed through analysis or a numeric aspect by many researchers [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. In this regard, the 2019-nCoV pandemic which affects the world was extensively analyzed and studied analytically and numerically [25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

New analytical solutions of fractional (HIV-1 infection of CD4 + T-cells) using two efficient methods

Alshahrani,

Ouahid,

Abdou

et al. 2023

Preprint

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Here, we use a fractional model to perform an analytical investigation of (HIV-1 infection of CD4+ T-cells). This considered model is analyzed by utilizing a new extended sub-equation method as well as a direct algebraic method. The obtained results demonstrate the influence and superiority of the applied schemes over other analytical methodologies. The series of single solutions with a fractional derived in order achieved with these methods can be classified as trigonometric, hyperbolic, rational, and other basic functions. A comparison of analytical method results is discussed. We also offer some figures showing how exact the solutions are obtained using the two new analytical methods.

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Section: Introductionmentioning

confidence: 99%

New analytical solutions of fractional (HIV-1 infection of CD4 + T-cells) using two efficient methods

Alshahrani,

Ouahid,

Abdou

et al. 2023

Preprint

Self Cite

View full text Add to dashboard Cite

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Novel analytical techniques for HIV-1 infection of CD4 + T cells on fractional order in mathematical biology

et al. 2023

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In this research, we present an analytical analysis of HIV-1 infection of CD4 + T cells with a conformable derivative model (CDM) in biology. An improved -expansion method is used to investigate this model analytically to construct a new exact traveling wave solution, namely, exponential function, trigonometric function, and the hyperbolic function, which can be further studied for more (FNEE) fractional nonlinear evolution equations in biology. Also, we provide some graphs in 2D plots that demonstrate how accurate the results will be produced using analytical approaches.

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Numerical approximation of a fractional neutron diffusion equation for neutron flux profile in a nuclear reactor

Roul,

Rohil,

Espinosa-Paredes

et al. 2024

Progress in Nuclear Energy

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An analytical solution of the time-fractional telegraph equation describing neutron transport in a nuclear reactor

Cited by 5 publications

References 37 publications

New analytical solutions of fractional (HIV-1 infection of CD4 + T-cells) using two efficient methods

New analytical solutions of fractional (HIV-1 infection of CD4 + T-cells) using two efficient methods

Novel analytical techniques for HIV-1 infection of CD4 + T cells on fractional order in mathematical biology

Numerical approximation of a fractional neutron diffusion equation for neutron flux profile in a nuclear reactor

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