Results 31 to 40 of about 3,849,109 (255)
Is a nonlocal diffusion strategy convenient for biological populations in competition? [PDF]
, 2015 We study the convenience of a nonlocal dispersal strategy in a reaction-diffusion system with a fractional Laplacian operator. We show that there are circumstances - namely, a precise condition on the distribution of the resource - under which a nonlocal
Massaccesi, Annalisa, Valdinoci, Enrico
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On a class of nonlocal problems for hyperbolic equations with degeneration of type and order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 Nonlocal problems for the second order hyperbolic model equation were studied in the characteristic area. The type and order of equations degenerate on the same line $y = 0$.
Oleg A Repin, Svetlana K Kumykova
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STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS
Mathematical Modelling and Analysis, 2001 In this article a stationary problems with general nonlocal boundary conditions is considered. The differential problems and finite difference schemes for solving this problem are investigated. Stability estimates are proved in the maximum norm and the non‐negativity of the solution is investigated.
Čiegis, R. +3 more
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Mathematics, 2022 In this paper, the numerical solutions of the backward and forward non-homogeneous wave problems are derived to address the nonlocal boundary conditions.
Chein-Shan Liu +3 more
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Difference Schemes with Nonlocal Boundary Conditions
Computational Methods in Applied Mathematics, 2001 AbstractThe paper deals with the stability, with respect to initial data, of difference schemes that approximate the heat-conduction equation with constant coefficients and nonlocal boundary conditions. Some difference schemes are considered for the one-dimensional heat-conduction equation, the energy norm is constructed, and the necessary and ...
Goolin, Alexei V. +2 more
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International Journal of Antennas and Propagation, 2017 Diffraction nonlocal boundary condition (BC) is one kind of the transparent boundary condition which is used in the finite-difference (FD) parabolic equation (PE).
Ruidong Wang +3 more
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Distributed optimal control of a nonstandard nonlocal phase field system [PDF]
, 2016 We investigate a distributed optimal control problem for a nonlocal phase field model of viscous Cahn-Hilliard type. The model constitutes a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of ...
Colli, Pierluigi +2 more
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Distribution of the critical and other points in boundary problems with nonlocal boundary condition
Lietuvos Matematikos Rinkinys, 2007 In this paper the Sturm–Liouville problem with one classical and other nonlocal two-point or integral boundary condition is investigated. There are critical points of the characteristic function analysed.
Sigita Pečiulytė, Artūras Štikonas
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Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition
Lietuvos Matematikos Rinkinys, 2013 In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition.
Kristina Skučaitė-Bingelė +1 more
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A PARABOLIC SYSTEM WITH NONLOCAL BOUNDARY CONDITIONS AND NONLOCAL SOURCES
Communications of the Korean Mathematical Society, 2012 In this work, the authors study the blow-up properties of so- lutions to a parabolic system with nonlocal boundary conditions and non- local sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and precise blow-up rate estimates are also obtained. v(x;t) = R k2(x;y)v(y;t)dy; x2 @; t >0; u(x;0) = u0(x);
Wenjie Gao, Yuzhu Han
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