A method for solving problems of heat transfer during the flow of fluids in a plane channel
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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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]
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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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
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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Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions
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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On the extraction technique in boundary integral equations [PDF]
In this paper we develop and analyze a bootstrapping algorithm for the extraction of potentials and arbitrary derivatives of the Cauchy data of regular three–dimensional second order elliptic boundary value problems in connection with corresponding boundary integral equations.
Christoph Schwab, Wolfgang L. Wendland
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To the boundary value problem of ordinary differential equations
Method for solving of a boundary value problem for ordinary differential equations with boundary conditions at phase and integral constraints is proposed.
Serikbai Aisagaliev, Zhanat Zhunussova
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Mathematical modeling of thermophysical processes in an electric arc of high-current disconnecting apparatuses leads to a boundary value problem for an essentially loaded heat conduction equation. Taking into account the transience of such phenomena, in
A.N. Yesbayev +3 more
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Application of DRBEM for 2D sine-Gordon equation
This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
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Further numerical techniques for planar elastostatic analysis by the boundary integral equation method [PDF]
Includes bibliography.Prior experience of the Finite Element Method stimulated interest and led to research into the Boundary Integral Equation Method, specifically for the solution of planar elastostatic problems.
Howell, Graham Conrad
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