Interval Difference Methods for Solving the Poisson Equation
[ 1 ] Instytut Informatyki, Wydział Informatyki, Politechnika Poznańska | [ P ] pracownik
2018
rozdział w monografii naukowej / referat
angielski
- interval difference methods
- floating-point interval arithmetic
- Poisson’s equation
- boundary value problem in partial differential equations
EN In the paper we resemble interval difference method of second order designed by us earlier and present new, fourth order interval difference methods for solving the Poisson equation with Dirichlet boundary conditions. Interval solutions obtained contain all possible numerical errors. Numerical solutions presented confirm the fact that the exact solutions are within the resulting intervals.
259 - 270
20
WoS (15)