Results 21 to 30 of about 7,362 (303)
Application of Rothe's method to a parabolic inverse problem with nonlocal boundary condition [PDF]
, 2022 summary:We consider an inverse problem for the determination of a purely time-dependent source in a semilinear parabolic equation with a nonlocal boundary condition. An approximation scheme for the solution together with the well-posedness of the problem
Ri, Myong-Hwan, Jo, Yong-Hyok
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Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations [PDF]
, 2008 Finite difference parabolic equation method (FD-PEM) codes using a nonlocal boundary condition to model radiowave propagation over electrically large domains, require the computation of time consuming spatial convolution integrals. For the first time, we
Mias, Christos
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A third‐order nonlocal problem with nonlocal conditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We study an equation with dominated lower‐order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed‐point theorem, we prove the existence and uniqueness of a generalized solution.
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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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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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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, Li, Hongru
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Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
, 2021 In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Erdoğan Şen +5 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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Nonlocal Neumann boundary conditions
Bruno Pini Mathematical Analysis Seminar, 2023 We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for particular types of problems.
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, 2008 In this paper we investigates the blow-up properties of the positive solutions to a porous medium equation with nonlocal reaction source and with nonlocal boundary condition, we obtain the blow-up condition and its blow-up rate ...
Cui, Zhoujin, Yang, Zuodong
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