Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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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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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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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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Applied Mathematics Letters, 2020 Based on the combined field integral equation (CFIE) and the complex variable moving least squares (CVMLS) approximation, a complex variable boundary element-free method is developed for the exterior Neumann problem for the Helmholtz equation.
Linchong Chen, Xiaolin Li
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A method for solving problems of heat transfer during the flow of fluids in a plane channel
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 Using the integral method of heat-transfer with the additional boundary conditions we obtain the high precision approximate analytical solution of heat-transfer for a fluid, moving in plate-parallel channel with symmetric boundary conditions of the first ...
Anton V Eremin +2 more
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Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions
Fractal and Fractional, 2021 This paper considers boundary value problem (BVP) for nonlinear first-order differential problems with multipoint and integral boundary conditions.
Misir J. Mardanov +3 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In the article it is shown that the homogeneous Volterra integral equation of the second kind, to which the homogeneous boundary value problem of heat conduction in the degenerating domain is reduced, has a nonzero solution.
D.M. Akhmanova +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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Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]
, 2012 This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L +7 more
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