Results 21 to 30 of about 32,527 (309)
Closed-Form Solution of the Bending Two-Phase Integral Model of Euler-Bernoulli Nanobeams
Algorithms, 2022 Recent developments have shown that the widely used simplified differential model of Eringen’s nonlocal elasticity in nanobeam analysis is not equivalent to the corresponding and initially proposed integral models, the pure integral model and the two ...
Efthimios Providas
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Integrable Boundary Conditions for Quad Equations, Open Boundary Reductions, and Integrable Mappings [PDF]
International Mathematics Research Notices, 2021 Abstract In the context of integrable difference equations on quad-graphs, we introduce the method of open boundary reductions, as an alternative to the well-known periodic reductions, for constructing discrete integrable mappings and their invariants. The mappings are obtained from well-posed initial value problems for quad and boundary
Caudrelier, V +2 more
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Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor
Nonlinear Analysis, 2017 We study a system of two parabolic nonlinear reaction–diffusion equations subject to a nonlocal boundary condition. This system of nonlinear equations is used for mathematical modeling of biosensors and bioreactors.
Feliksas Ivanauskas +3 more
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SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN
Вестник КазНУ. Серия математика, механика, информатика, 2021 In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov +1 more
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On the extraction technique in boundary integral equations [PDF]
Mathematics of Computation, 1999 In this paper we develop and analyze a bootstrapping algorithm for the extraction of potentials and arbitrary derivatives of the Cauchy data of regular three–dimensional second order elliptic boundary value problems in connection with corresponding boundary integral equations.
Christoph Schwab, Wolfgang L. Wendland
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, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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In–out decomposition of boundary integral equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2013 We propose a reformulation of the boundary integral equations for the Helmholtz equation in a domain in terms of incoming and outgoing boundary waves. We obtain transfer operator descriptions which are exact and thus incorporate features such as diffraction and evanescent coupling; these effects are absent in the well known semiclassical transfer ...
Creagh, Stephen C. +2 more
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, 2010 This is the pre-print version of the article. The official published version can be obtained from the link below - Copyright @ 2011 Wiley-BlackwellSegregated direct boundary-domain integral equation (BDIE) systems associated with mixed, Dirichlet and ...
S.E. Mikhailov +5 more
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The method of boundary integral equationsin nonlinear boundary body problems of viscous gas dynamics
Авіаційно-космічна техніка та технологіяThe subject of the research is a mathematical model of the processes of flow around carrying systems of arbitrary spatial shape by a viscous gas flow.
Yurii Krashanytsya
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Modelling and solution of contact problem for infinite plate and cross-shaped embedment
Trudy Odesskogo Politehničeskogo Universiteta, 2016 Development of efficient methods of determination of an intense-strained state of thin-walled constructional designs with inclusions, reinforcements and other stress raisers is an important problem both with theoretical, and from the practical point of ...
O.B. Kozin +2 more
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