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.
CITATION STYLE
Marciniak, A., & Hoffmann, T. (2018). Interval difference methods for solving the poisson equation. In Springer Proceedings in Mathematics and Statistics (Vol. 230, pp. 259–270). Springer New York LLC. https://doi.org/10.1007/978-3-319-75647-9_21
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