Results 1 to 10 of about 106,592 (265)
Analytic solution of the SEIR epidemic model via asymptotic approximant [PDF]
Physica D: Nonlinear Phenomena, 2020 Nathaniel Barlow, Steven Weinstein
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New analytic solutions of some fourth-order nonlinear space-time fractional partial differential equations by G' / G -expansion method [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 The exact traveling wave solutions of the space-time fractional Estevez-Mansfield-Clarkson (EMC) equation and the space-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) water equation are investigated.
Sirasrete Phoosree +1 more
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Analytic solution of Bremsstrahlung TBA [PDF]
Journal of High Energy Physics, 2012 We consider the quark--anti-quark potential on the three sphere or the generalized cusp anomalous dimension in planar N=4 SYM. We concentrate on the vacuum potential in the near BPS limit with $L$ units of R-charge. Equivalently, we study the anomalous dimension of a super-Wilson loop with L local fields inserted at a cusp. The system is described by a
Gromov, Nikolay, Sever, Amit
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Axioms, 2023 This study proposes a closed-form solution for the two-dimensional (2D) transient heat conduction in a rectangular cross-section of an infinite bar with space–time-dependent Dirichlet boundary conditions and heat sources.
Heng-Pin Hsu +3 more
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Analytic Solution of Multipantograph Equation [PDF]
Journal of Applied Mathematics and Decision Sciences, 2008 We apply the homotopy analysis method (HAM) for solving the multipantograph equation. The analytical results have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy analysis method.
Fadi Awawdeh +2 more
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The Grad–Shafranov Equation in Cap-Cyclide Coordinates: The Heun Function Solution
Mathematics, 2023 The Grad–Shafranov plasma equilibrium equation was originally solved analytically in toroidal geometry, which fitted the geometric shape of the first Tokamaks.
Flavio Crisanti +2 more
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Analytical Solution of Multicompartment Solute Kinetics for Hemodialysis [PDF]
Computational and Mathematical Methods in Medicine, 2013 Objective.To provide an exact solution for variable-volume multicompartment kinetic models with linear volume change, and to apply this solution to a 4-compartment diffusion-adjusted regional blood flow model for both urea and creatinine kinetics in hemodialysis.Methods.A matrix-based approach applicable to linear models encompassing any number of ...
Przemyslaw Korohoda, Daniel Schneditz
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Analytical and Numerical Simulations of a Delay Model: The Pantograph Delay Equation
Axioms, 2022 In this paper, the pantograph delay differential equation y′(t)=ay(t)+byct subject to the condition y(0)=λ is reanalyzed for the real constants a, b, and c. In the literature, it has been shown that the pantograph delay differential equation, for λ=1, is
Essam Roshdy El-Zahar, Abdelhalim Ebaid
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Numerically Stable and Computationally Efficient Expression for the Magnetic Field of a Current Loop
Magnetism, 2022 In this work, it is demonstrated that straightforward implementations of the well-known textbook expressions of the off-axis magnetic field of a current loop are numerically unstable in a large region of interest.
Michael Ortner +2 more
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Micromachines, 2022 In a flexible electronic heater (FEH), periodic metal wires are often encapsulated into the soft elastic substrate as heat sources. It is of great significance to develop analytic models on transient heat conduction of such an FEH in order to provide a ...
Dian Xu +4 more
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