Analysis of some localized boundary-domain integral equations [PDF]
Some direct segregated localized boundary-domain integral equation (LBDIE) systems associated with the Dirichlet and Neumann boundary value problems (BVP) for a scalar "Laplace" PDE with variable coefficient are formulated and analysed. The parametrix is
Mikhailov, SE +2 more
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The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The boundary element method (BEM) has become a powerful method for the numerical solution of boundary-value problems (BVPs), due to its ability (at least ...
Al-Jawary, Majeed
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Positive solutions of a boundary value problem with integral boundary conditions [PDF]
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Steklov Mathematical Institute RAS.Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value ...
Mikhailov, SE, Ayele, TG
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Localized boundary-domain integral equation formulation for mixed type problems [PDF]
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
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Integral boundary conditions in phase field models
Modeling the chemical, electric, and thermal transport as well as phase transitions and the accompanying mesoscale microstructure evolution within a material in an electronic device setting involves the solution of partial differential equations often with integral boundary conditions.
Xiaofeng Xu +4 more
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An optimal control problem for the systems with integral boundary conditions [PDF]
In this paper, we consider an optimal control problem with a «pure», integral boundary condition. The Green’s function is constructed. Using contracting Banach mappings, a sufficient condition for the existence and uniqueness of a solution to one class ...
M.J. Mardanov, Y.A. Sharifov
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On the integration of the diffusion equation with boundary conditions. [PDF]
the initial-value problem is shown to have a unique positivity preserving solution; here an1= aiini, bn = bini (the ni being components of the outer normal to A), oa, r > 0, and a2 +r2 = 1. Solutions in the form of strongly continuous semi-groups of positive operators (see [4]) are obtained in the Lp spaces over A with weight factor e, 1 ?_ _ 2.
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For system of hyperbolic equations of second order a nonlinear boundary value problem with integral condition is considered. By introducing new unknown functions the investigated problem is reduced to an equivalent problem involving one-parametered ...
Anar Assanova
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Boundary conditions for two-dimensional integrable chains [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gürel, B., Habibullin I.
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