Circular Slits Map of Bounded Multiply Connected Regions
Abstract and Applied Analysis, 2012 We present a boundary integral equation method for the numerical conformal mapping of bounded multiply connected region onto a circular slit region.
Ali W. K. Sangawi +2 more
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Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2019 The method of numerical modeling of wave scattering by periodic impedance grating is considered. In the case of a harmonic dependence of the field on time and the uniformity of the structure along a certain axis, the three-dimensional problem reduces to ...
Vladimir D. Dushkin +2 more
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On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid Methods [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018 In this work we consider the boundary integral equation describing the steady state heat conduction taking place in three dimensional enclosure geometries.
Naji Qatanani, AbdelLatif Sa'adAldin
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A Fuzzy Random Boundary Value Problem
Axioms, 2022 A system of generalized fuzzy random differential equations with boundary conditions is investigated, which is a fuzzy version of a system of general random differential equations. We first present random fixed point (RFP) theorems in fuzzy metric space (
Hari M. Srivastava +3 more
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +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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On the uniqueness of linear convection–diffusion equations with integral boundary conditions
Comptes Rendus. Mathématique, 2023 We investigate a class of convection–diffusion equations in an expanding domain involving a parameter, where we consider integral boundary conditions that depend non-locally on unknown solutions.
Lee, Chiun-Chang +2 more
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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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Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Birkhäuser Boston.Some direct segregated systems of boundary–domain integral equations (LBDIEs) associated with the mixed
Mikhailov, SE +5 more
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Localized boundary-domain integral equation formulation for mixed type problems [PDF]
, 2010 Copyright @ 2010 Walter de Gruyter GmbHSome modified direct localized boundary-domain integral equations (LBDIEs) systems associated with the mixed boundary value problem (BVP) for a scalar “Laplace” PDE with variable coefficient are formulated and ...
Mikhailov, SE +5 more
core +1 more source