Results 51 to 60 of about 4,525,221 (172)
Study of the Six-Compartment Nonlinear COVID-19 Model with the Homotopy Perturbation Method
AxiomsThe current study aims to utilize the homotopy perturbation method (HPM) to solve nonlinear dynamical models, with a particular focus on models related to predicting and controlling pandemics, such as the SIR model.
Muhammad Rafiullah +3 more
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The Riemann–Liouville fractional derivative for Ambartsumian equation
Results in Physics, 2020 The Ambartsumian equation, based on the modified Riemann–Liouville fractional derivative, is analyzed in this paper. The solution is expressed as a power series of arbitrary powers and its convergence has been proven.
E.R. El-Zahar +4 more
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Exact and Approximate Solutions of A Fractional Diffusion Problem with Fixed Space Memory Length
International Journal of Applied Mathematics and Computer ScienceWe study a fractional differential diffusion equation, where the spatial derivative is expressed by the fractional differential operator with a fixed space memory length.
Klimek Malgorzata, Blaszczyk Tomasz
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Finite Series of Distributional Solutions for Certain Linear Differential Equations
Axioms, 2020 In this paper, we present the distributional solutions of the modified spherical Bessel differential equations t2y″(t)+2ty′(t)−[t2+ν(ν+1)]y(t)=0 and the linear differential equations of the forms t2y″(t)+3ty′(t)−(t2+ν2−1)y(t)=0, where ν∈N∪{0} and t∈R. We
Nipon Waiyaworn +2 more
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A three-phase free boundary problem with melting ice and dissolving gas
, 2014 We develop a mathematical model for a three-phase free boundary problem in one dimension that involves the interactions between gas, water and ice. The dynamics are driven by melting of the ice layer, while the pressurized gas also dissolves within the ...
Ceseri, Maurizio, Stockie, John M.
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Series Solution for Painlevé Equation II
Walailak Journal of Science and Technology, 2014 The Painlev'e equations are second order ordinary differential equations which can be grouped into six families, namely Painlev'e equation I, II,…, VI.
Fazle MABOOD +3 more
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Analytic solution of the algebraic equation associated to the Ricci tensor in extended Palatini gravity [PDF]
, 2014 In this work we discuss the exact solution to the algebraic equation associated to the Ricci tensor in the quadratic $f(R,Q)$ extension of Palatini gravity. We show that an exact solution always exists, and in the general case it can be found by a simple
Teruel, Ginés R. Pérez
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Nonlinear Engineering, 2014 The two-dimensional differential transform method (DTM) is applied to solve the one-dimensional coupled heat and moisture diffusion problem for a slab with temperature-dependent thermal and moisture diffusivities, which are expressed by a linear ...
Chiba Ryoichi
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MathematicsThis paper solves a nonhomogeneous version of the pantograph equation. The nonhomogeneous term is taken as a polynomial of degree n with arbitrary coefficients.
Mona D. Aljoufi
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MathematicsThe Kudryashov–Sinelshchikov equation (KSE) is crucial in modeling pressure waves in liquids containing gas bubbles, capturing both nonlinear wave phenomena and dispersion effects.
Gayatri Das +4 more
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