Solving interval systems of equations obtained during the numerical solution of boundary value problems
Eugeniusz Zieniuk, Marta Kapturczak, Andrzej Kużelewski · Computational and Applied Mathematics · 2015
Numerical solution of boundary value problems modelled by differential or integral equations is reduced to solving linear system of equations. Even in the systems of equations without intervals, the solution does not have to be unique, e.g., in the case of a singular (or at least ill-conditioned) matrix. Such problems are even more inconvenient in the interval linear systems of equations. In this paper, the various methods of solving such systems are tested. These systems have been generated during the numerical solution of boundary value problems modelled by Navier–Lamé equations.