SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN
Вестник КазНУ. Серия математика, механика, информатика, 2021 In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov +1 more
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The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients [PDF]
, 2012 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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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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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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Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
Nonlinear Analysis, 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.
Artūras Štikonas, Erdoğan Şen
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Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2018 On the basis of systems of identical equalities and integral boundary characteristics, a new algorithm of solving a boundary-value problem on the nonstationary heat conduction in a canonical body with boundary condition of the second kind has been ...
V. A. Kot
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On the integration of the diffusion equation with boundary conditions. [PDF]
Transactions of the American Mathematical Society, 1961 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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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 A family multipoint - integral boundary value problems for a third order differential equation with variable coefficients is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova, A.E. Imanchiyev
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To the solution of the Solonnikov-Fasano problem with boundary moving on arbitrary law x = γ(t).
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we study the solvability of the boundary value problem for the heat equation in a domain that degenerates into a point at the initial moment of time. In this case, the boundary changing with time moves according to an arbitrary law x = γ(t)
M.T. Jenaliyev +2 more
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Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with variable coefficient [PDF]
, 2012 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2012 Taylor & Francis.In this paper, a numerical implementation of a direct united boundary-domain integral equation (BDIE ...
Mikhailov, SE, Mohamed, NA
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