A new adaptive nonlinear numerical method for singular and stiff differential problems

Akanbi, Moses Adebowale; Shaikh, Asif Ali; Wusu, Ashiribo Senapon; Ogunlaran, Oladotun Matthew; Mahmoud, Walaa H.; Osman, M. S.

doi:10.1016/j.aej.2023.05.055

Cited by 42 publications

(4 citation statements)

References 37 publications

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“…Within the given expression, k is used to represent the wave width, ξ is employed as the wave variable, and υ is utilized to denote the wave velocity, according to references [36][37][38][39][40][41][42][43][44][45].…”

Section: T Xt XX F U U U U U =mentioning

confidence: 99%

Stochastic Perturbation of Optical Solitons for the Concatenation Model with Power-Law of Self-Phase Modulation Having Multiplicative White Noise

Arnous,

Biswas,

Yildirim

et al. 2024

Contemp. Math.

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Addressing the concatenation model, this paper explores the incorporation of power-law self-phase modulation and spatio-temporal dispersion, in addition to the chromatic dispersion. The inclusion of the white noise effect, along with deterministic Hamiltonian perturbation terms of arbitrary intensity, is also examined. Two integration approaches are applied to recover the soliton solutions, leading to the observation that the white noise effect remains confined to the phase component of these solutions.

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Section: T Xt XX F U U U U U =mentioning

confidence: 99%

Stochastic Perturbation of Optical Solitons for the Concatenation Model with Power-Law of Self-Phase Modulation Having Multiplicative White Noise

Arnous,

Biswas,

Yildirim

et al. 2024

Contemp. Math.

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“…Half-Heusler alloys contain a wide range of materials, such as thermoelectric semiconductors [16,17], piezoelectrics [18], direct-band semiconductors [19], and effective topological insulators [20]. Most of the study so far has been focused on calculations relating to the different properties of these half-Heusler compounds, with very little work being done relating to the lattice dynamical characteristics of these materials [21][22][23]. Many alloys that may be utilized as spin injectors in memory random-access systems and electronic spin-based applications were expected to be half-metallic mixes.…”

Section: Introductionmentioning

confidence: 99%

Investigating the electronic structure, elastic, magnetic, and thermoelectric nature of NiV _X Sc_1−XSb quaternary half-Heusler alloys

Benabdellah,

Toufik,

Mokhtari

et al. 2024

Modelling Simul. Mater. Sci. Eng.

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The structural, electronic, magnetic, elastic, and thermoelectric properties of NiVxSc1-xSb half Heusler alloys with different compositions were investigated employing a self-consistent first-principles-based calculation that uses the full-potential linearized-augmented-plane-wave method. The structural characteristics, such as the bulk modulus and lattice constants, are examined with various vanadium concentrations. The accurately modified Becke Johnson potential was used to calculate the band gap energies. The equilibrium lattice parameter of NiScSb type-I structure has the lowest energy and seems to be most stable among the other configurations with a lattice constant value of 6.04 Å, which deviates from the experimental results by up to 0.5%. The bulk modulus rises as the lattice constant decreases. The ground states of the studied alloy structures are dynamically stable, as concluded by the non-existence of negative phonon frequency. The band structure of NiScSb (for x = 0) was predicted as a non-magnetic semiconductor with an indirect band nature, and an energy gap value of 0.244 eV along (Γ-point > X). This tendency was further supported by the symmetrical shape of the curves that reflect the densities of states for these configuration channels. The thermoelectric characteristics of these various combinations were also thoroughly investigated and discussed.

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“…They employed optimal control theory to identify an effective prevention strategy that reduces the number of sick people, considering operational constraints. In recent studies, a new adaptive nonlinear numerical approach for handling singular and stiff differential problems was presented [ 25 ]. Additionally, mathematical dynamics for HIV infections were investigated taking into account public awareness and the detectability of viral load [ 26 ].…”

Section: Introductionmentioning

confidence: 99%

Computational and stability analysis of Ebola virus epidemic model with piecewise hybrid fractional operator

Nisar,

Farman,

Jamil

et al. 2024

PLoS ONE

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In this manuscript, we developed a nonlinear fractional order Ebola virus with a novel piecewise hybrid technique to observe the dynamical transmission having eight compartments. The existence and uniqueness of a solution of piecewise derivative is treated for a system with Arzel’a-Ascoli and Schauder conditions. We investigate the effects of classical and modified fractional calculus operators, specifically the classical Caputo piecewise operator, on the behavior of the model. A model shows that a completely continuous operator is uniformly continuous, and bounded according to the equilibrium points. The reproductive number R0 is derived for the biological feasibility of the model with sensitivity analysis with different parameters impact on the model. Sensitivity analysis is an essential tool for comprehending how various model parameters affect the spread of illness. Through a methodical manipulation of important parameters and an assessment of their impact on Ro, we are able to learn more about the resiliency and susceptibility of the model. Local stability is established with next Matignon method and global stability is conducted with the Lyapunov function for a feasible solution of the proposed model. In the end, a numerical solution is derived with Newton’s polynomial technique for a piecewise Caputo operator through simulations of the compartments at various fractional orders by using real data. Our findings highlight the importance of fractional operators in enhancing the accuracy of the model in capturing the intricate dynamics of the disease. This research contributes to a deeper understanding of Ebola virus dynamics and provides valuable insights for improving disease modeling and public health strategies.

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A new adaptive nonlinear numerical method for singular and stiff differential problems

Cited by 42 publications

References 37 publications

Stochastic Perturbation of Optical Solitons for the Concatenation Model with Power-Law of Self-Phase Modulation Having Multiplicative White Noise

Stochastic Perturbation of Optical Solitons for the Concatenation Model with Power-Law of Self-Phase Modulation Having Multiplicative White Noise

Investigating the electronic structure, elastic, magnetic, and thermoelectric nature of NiV _X Sc_1−XSb quaternary half-Heusler alloys

Computational and stability analysis of Ebola virus epidemic model with piecewise hybrid fractional operator

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A new adaptive nonlinear numerical method for singular and stiff differential problems

Cited by 42 publications

References 37 publications

Stochastic Perturbation of Optical Solitons for the Concatenation Model with Power-Law of Self-Phase Modulation Having Multiplicative White Noise

Stochastic Perturbation of Optical Solitons for the Concatenation Model with Power-Law of Self-Phase Modulation Having Multiplicative White Noise

Investigating the electronic structure, elastic, magnetic, and thermoelectric nature of NiV X Sc1−X Sb quaternary half-Heusler alloys

Computational and stability analysis of Ebola virus epidemic model with piecewise hybrid fractional operator

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Investigating the electronic structure, elastic, magnetic, and thermoelectric nature of NiV _X Sc_1−XSb quaternary half-Heusler alloys