Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation
Advances in Mathematical Physics, 2022 In this paper, we examine the problem of two-dimensional heat equations with certain initial and boundary conditions being considered. In a two-dimensional heat transport problem, the boundary integral equation technique was applied.
Nimona Ketema Kebeba, Gizaw Debito Haifo
doaj +1 more source
Closed-Form Solution of the Bending Two-Phase Integral Model of Euler-Bernoulli Nanobeams
Algorithms, 2022 Recent developments have shown that the widely used simplified differential model of Eringen’s nonlocal elasticity in nanobeam analysis is not equivalent to the corresponding and initially proposed integral models, the pure integral model and the two ...
Efthimios Providas
doaj +1 more source
On the extraction technique in boundary integral equations [PDF]
Mathematics of Computation, 1999 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
openaire +3 more sources
Localized boundary-domain integral formulations for problems with variable coefficients [PDF]
, 2002 Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
Mikhailov, SE
core +3 more sources
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
doaj +1 more source
Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem [PDF]
, 2005 An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed.
Mikhailov, SE, Nakhova, IS
core +4 more sources
The method of boundary integral equationsin nonlinear boundary body problems of viscous gas dynamics
Авіаційно-космічна техніка та технологіяThe subject of the research is a mathematical model of the processes of flow around carrying systems of arbitrary spatial shape by a viscous gas flow.
Yurii Krashanytsya
doaj +1 more source
Methods and effective algorithms for solving multidimensional integral equations
Российский технологический журнал, 2022 Objectives. Integral equations have long been used in mathematical physics to demonstrate existence and uniqueness theorems for solving boundary value problems for differential equations. However, despite integral equations have a number of advantages in
A. B. Samokhin
doaj +1 more source
In–out decomposition of boundary integral equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2013 We propose a reformulation of the boundary integral equations for the Helmholtz equation in a domain in terms of incoming and outgoing boundary waves. We obtain transfer operator descriptions which are exact and thus incorporate features such as diffraction and evanescent coupling; these effects are absent in the well known semiclassical transfer ...
Creagh, Stephen C. +2 more
openaire +2 more sources
Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core +1 more source