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Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition
AbstractWe consider a boundary-value problem for singularly perturbed integro-differential equation describing stationary reaction–diffusion...
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Initial Boundary Value Problems
This chapter first discusses the initial boundary value problems in the advection and diffusion equations. The corresponding schemes to deal with the...
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Sticky Brownian Motions and a Probabilistic Solution to a Two-Point Boundary Value Problem
In this paper, we study a two-point boundary value problem consisting of the heat equation on the open interval (0,1) with boundary conditions which...
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Asymptotic Behavior Associated with the Definition of One Boundary Value Problem for the Laplace Equation
AbstractThe eigenvalues of one boundary value problem for the Laplace equation are studied. Asymptotic formulas for the eigenvalues are found.
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Asymptotics of the Solution of the Initial Boundary Value Problem for the One-Dimensional Klein–Gordon Equation with Variable Coefficients
AbstractIn the paper, formal asymptotic solutions of the initial-boundary value problem for the one-dimensional Klein–Gordon equation with variable...
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Boundary Value Problems and Solutions
In the previous chapters we have used the complete integrability of the stationary axisymmetric Einstein equations in vacuum to construct and to...
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Neuron analysis through the swarming procedures for the singular two-point boundary value problems arising in the theory of thermal explosion
The motive of this work is to provide the neural investigations using the artificial neural networks (ANNs) through the particle swarm optimization...
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Approximate Formulation of the Problem of Boundary Layer Stability with Diffusion Combustion
AbstractIt is found that the problem of boundary layer stability with a diffusion flame under the conditions of a constant molecular weight over the...
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Trajectory Symbols and the Fredholm Property of Boundary Value Problems for Differential Operators with Shifts
AbstractBoundary value problems are considered in which the main operator and the operators of boundary conditions include differential and shift...
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DISCRETE METHOD FOR SOLVING A THREE-POINT BOUNDARY-VALUE PROBLEM FOR A THIRD-ORDER EQUATION
AbstractAdjoined equations are used to develop a method for solving boundary-value problems for second- and third-order equations. With the use of...
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The Initial Boundary Value Problem for the Einstein Equations with Totally Geodesic Timelike Boundary
We prove the well-posedness of the initial boundary value problem for the Einstein equations with sole boundary condition the requirement that the...
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Point Charge between Two Plane-Parallel Metal Plates
AbstractThis article is in response to a reference to my work as a work in which the expression for the density of the charge induced by the point...
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Boundary Value Problems for Parabolic Equations in Noncylindrical Domains
AbstractA mathematical theory is developed for constructing integral relations of a new type in analytical solutions of boundary value problems for...
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Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity
Although there are many results on the global solvability and the precise description of the large time behaviors of solutions to the...
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Boundary Problem for Plane Nonlinear Solitary Waves in Plasma in the Hall Magnetohydrodynamics Approximation
AbstractEquations are given for plane nonlinear traveling waves in a conducting medium with a current, including plasma, within the framework of Hall...
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Spatially One-Dimensional Boundary Value Problems of Coupled Thermoelasticity: Generalized Functions Method
AbstractProblems of determining the thermostressed state of a thermoelastic rod using the coupled thermoelasticity model are considered. In this...
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A numerical study of a moving boundary problem with variable thermal conductivity and temperature-dependent moving PCM under periodic boundary condition
The work in this paper concerns the study of a one-phase moving boundary problem with size-dependent thermal conductivity and moving phase change...
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Highly Accurate Numerical Schemes for Solving Plane Boundary-Value Problems for a Polyharmonic Equation and Their Application to Problems of Hydrodynamics
AbstractBoundary-value problems are considered for harmonic and biharmonic equations, as well as the general polyharmonic equation for multiply...
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On the initial boundary values problem for a mixture of two Cosserat bodies with voids
In this study it is approached a linear model for the mixture of two Cosserat bodies having pores. It is formulated the mixed problem with initial...
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Nonequilibrium Effects in Ballistic Point Contacts Ta–Cu and 2H–NbSe2–Cu: Two-Gap Superconductivity in 2H–NbSe2
The heterocontacts Ta–Cu and NbSe 2 –Cu have been studied. For the Ta–Cu contacts, the theoretical estimation of the value of δ-functional barrier at...
