An integral equation approach to boundary value problems of classical elastostatics

‎Solving Some Initial-Boundary Value Problems Including Non-classical ‎C‎ases of Heat Equation By Spectral and Countour Integral ‎Methods‎

In this paper, we consider some initial-boundary value problems which contain one-dimensional heat equation in non-classical case. For this problem, we can not use the classical methods such as Fourier, Laplace transformation and Fourier-Birkhoff methods. Because the eigenvalues of their spectral problems are not strictly and they are repeated or we have no eigenvalue. The presentation of the s...

Integral Equation Formulations for Geodetic Mixed Boundary Value Problems

We consider mixed boundary value problems in Physical Geodesy and study possibilities in order to transform them into a system of integral equations over the boundary of the domain. The system of integral equations can be solved numerically, by, e.g. boundary element methods, provided that (a) the mixed boundary value problem is uniquely solvable, (b) the system of integral equations is equival...

An integral equation method for elastostatics of periodic composites

An interface integral equation is presented for the elastostatic problem in a two-dimensional isotropic composite. The displacement is represented by a single layer force density on the component interfaces. In a simple numerical example involving hexagonal arrays of disks the force density is expanded in a Fourier series. This leads to an algorithm with superalgebraic convergence. The integral...

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

Adjoints of Multipoint-integral Boundary Value Problems

The dual system to Ly=y'+Py, J_AtyOi)+ f1 K(t)v(t)dt = 0 is found when the setting is ¿°(0,1), 1 /2 -1 l/jj dt Kp' denote those vectors in X which are absolutely cont...