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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.
R. Čiegis +3 more
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On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization [PDF]
Journal of Differential Equations, 2021 The Cahn--Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. In recent times, various dynamic boundary conditions have been introduced to model interactions of the materials with the boundary more precisely.
Knopf P., Signori A.
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Nonlocal Boundary-Value Problems with Local Boundary Conditions
, 2023 We describe and analyze nonlocal integro-differential equations with classical local boundary conditions. The interaction kernel of the nonlocal operator has horizon parameter dependent on position in the domain, and vanishes as the boundary of the domain is approached.
Scott, James M., Du, Qiang
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A Quasilinear Parabolic System with Nonlocal Boundary Condition [PDF]
Boundary Value Problems, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Botao Chen, Yongsheng Mi, Chunlai Mu
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Domain decomposition with nonlocal interface boundary conditions
Journal of Computational and Applied Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Utyuzhnikov, Sergey; id_orcid 0000-0002-6906-6695 +1 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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On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2019 Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper.
Rakhmonov, Zafar R., Urunbayev, Jasur E.
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Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition [PDF]
SIAM Journal on Scientific Computing, 2021 Numerical resolution of exterior Helmholtz problems requires some approach to domain truncation. As an alternative to approximate nonreflecting boundary conditions and invocation of the Dirichlet-to-Neumann map, we introduce a new, nonlocal boundary condition.
Robert C. Kirby +2 more
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Recovering differential operators with nonlocal boundary conditions [PDF]
Analysis and Mathematical Physics, 2015 Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.
Yurko, Vjacheslav Anatoljevich +1 more
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Stationary problems with various nonlocal boundary conditions
Lietuvos Matematikos Rinkinys, 2003 In this paper we investigate one-dimensional stationary differential problems with various nonlocal boundary conditions and finite difference schemes for them.
Artūras Štikonas +2 more
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