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Monotonicity on nonuniform grids

✍ Scribed by P. de Oliveira; F. Patricio

Book ID
104338397
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
634 KB
Volume
80
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper we study a class of numerical methods used to solve two-point boundary value problems on nonuniform grids. Particular attention is devoted to positive solutions, i.e. conditions under which the solutions of the problem are positive. Applications to steady states of air pollution problems are also referred to.

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Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a be