NUMERICAL ANALYSIS OF THE CAUCHY PROBLEM FOR A WIDE CLASS FRACTAL OSCILLATORS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 The Cauchy problem for a wide class of fractal oscillators is considered in the paper and its numerical investigation is carried out using the theory of finite-difference schemes.
R. I. Parovik
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Fast and Efficient Numerical Methods for an Extended Black-Scholes Model [PDF]
, 2013 An efficient linear solver plays an important role while solving partial differential equations (PDEs) and partial integro-differential equations (PIDEs) type mathematical models. In most cases, the efficiency depends on the stability and accuracy of the
Bhowmik, Samir Kumar
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Modification of theory A.R. Rzhanitsyn in analysis of multilayer composite beams [PDF]
E3S Web of Conferences, 2023 The article proposes the development of a numerical method for calculating multilayer beams, based on the theory of composite rods by A.R. Rzhanitsyn.
Filatov Vladimir +2 more
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Stability of Equilibrium Points of Fractional Difference Equations with Stochastic Perturbations
Advances in Difference Equations, 2008 It is supposed that the fractional difference equation xn+1=(μ+∑j=0kajxn−j)/(λ+∑j=0kbjxn−j), n=0,1,…, has an equilibrium point x^ and is exposed to additive stochastic perturbations type of Ã(xn−x^)ξn+1 that are ...
Beatrice Paternoster, Leonid Shaikhet
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Bifurcations in a Plant-Pollinator Model with Multiple Delays
Journal of Mathematics, 2023 The plant-pollinator model is a common model widely researched by scholars in population dynamics. In fact, its complex dynamical behaviors are universally and simply expressed as a class of delay differential-difference equations.
Long Li +3 more
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Phase-Space Modeling and Control of Robots in the Screw Theory Framework Using Geometric Algebra
Mathematics, 2023 The following paper talks about the dynamic modeling and control of robot manipulators using Hamilton’s equations in the screw theory framework. The difference between the proposed work with diverse methods in the literature is the ease of obtaining the ...
Jesús Alfonso Medrano-Hermosillo +3 more
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Numerical Treatment of Degenerate Diffusion Equations via Feller's Boundary Classification, and Applications [PDF]
, 2011 A numerical method is devised to solve a class of linear boundary-value problems for one-dimensional parabolic equations degenerate at the boundaries. Feller theory, which classifies the nature of the boundary points, is used to decide whether boundary ...
Cacio, Emanuela +2 more
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Pakistan Journal of Engineering Technology & Science, 2023 . In research and technology, discretization is essential for describing and numerically assessing mathematical models. To provide promising numerical formulations with computationally efficient, mathematical models, which are frequently constructed ...
Inayatullah Soomro +4 more
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Exact analytical solution of the problem of current-carrying states of the Josephson junction in external magnetic fields [PDF]
, 2007 The classical problem of the Josephson junction of arbitrary length W in the presence of externally applied magnetic fields (H) and transport currents (J) is reconsidered from the point of view of stability theory.
A. Barone +21 more
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Functional differential equations—a reciprocity principle
International Journal of Mathematics and Mathematical Sciences, 1986 The functional differential equations proposed for solution here are mainly ordinary differential equations with fairly general argument deviations. Included among them are equations with involutions and some with reflections of the argument.
Lloyd K. Williams
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