An Interval Difference Method of Second Order for Solving an Elliptical BVP

Andrzej Marciniak; Małgorzata Jankowska; Tomasz Hoffmann

doi:10.1007/978-3-030-43222-5_36

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Title

An Interval Difference Method of Second Order for Solving an Elliptical BVP

Authors

Andrzej Marciniak (WIiT) ^{[ 1 ][ 2.3 ][ P ]}
Małgorzata Jankowska (WIM) ^{[ 2 ][ 2.9 ][ P ]}
Tomasz Hoffmann

^{[ 1 ]} Instytut Informatyki, Wydział Informatyki i Telekomunikacji, Politechnika Poznańska | ^{[ 2 ]} Instytut Mechaniki Stosowanej, Wydział Inżynierii Mechanicznej, Politechnika Poznańska | ^{[ P ]} employee

Scientific discipline (Law 2.0)

[2.3] Information and communication technology
[2.9] Mechanical engineering

Year of publication

2020

Chapter type

chapter in monograph / paper

Publication language

english

Keywords

EN

interval difference methods
elliptic boundary value problem
floating-point interval arithmetic

Abstract

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.

Pages (from - to)

407 - 417

DOI

10.1007/978-3-030-43222-5_36

URL

https://link.springer.com/chapter/10.1007/978-3-030-43222-5_36

Book

Parallel Processing and Applied Mathematics : 13th International Conference, PPAM 2019, Bialystok, Poland, September 8–11, 2019, Revised Selected Papers, Part II

Presented on

13th International Conference on Parallel Processing and Applied Mathematics PPAM 2019, 8-11.09.2019, Białystok, Polska

Ministry points / chapter

20