An Interval Difference Method of Second Order for Solving an Elliptical BVP
[ 1 ] Instytut Informatyki, Wydział Informatyki i Telekomunikacji, Politechnika Poznańska | [ 2 ] Instytut Mechaniki Stosowanej, Wydział Inżynierii Mechanicznej, Politechnika Poznańska | [ P ] employee
[2.3] Information and communication technology[2.9] Mechanical engineering
2020
chapter in monograph / paper
english
- interval difference methods
- elliptic boundary value problem
- floating-point interval arithmetic
EN In the article we present an interval difference scheme for solving a general elliptic boundary value problem with Dirichlet’ boundary conditions. The obtained interval enclosure of the solution contains all possible numerical errors. A numerical example we present confirms that the exact solution belongs to the resulting interval enclosure.
407 - 417
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