Abstract
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.
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CITATION STYLE
Marciniak, A., Jankowska, M. A., & Hoffmann, T. (2020). An Interval Difference Method of Second Order for Solving an Elliptical BVP. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 12044 LNCS, pp. 407–417). Springer. https://doi.org/10.1007/978-3-030-43222-5_36
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