Nakao's method and an interval difference scheme of second order for solving the elliptic BVP

Andrzej Marciniak
2019 Computational Methods in Science and Technology  
In the paper we compare Nakao's method to our interval difference scheme of second order. Repeating some computational examples of Nakao, we have observed that our implementation of his method gives better results. Moreover, it appears that the presented interval difference scheme gives better enclosures of exact solutions than Nakao's method. Wę also point out that the considered interval method can be used to solve the Poisson equation with Dirichlet's condition, for which Nakao's method is
more » ... Nakao's method is not applicable.
doi:10.12921/cmst.2019.0000016 fatcat:w5sl65ykmzahllqpyhxrorwf4y