Error Analysis on General Grids for Finite Difference Discretizations of Sturm-Liouville Problems

G.S. Lorenzzetti, J.P. Zingano, P.R. Zingano

Abstract


We introduce a simple method to obtain very accurate pointwise estimates for both solution and gradient errors of finite difference discretizations on arbitrary grids of one-dimensional Sturm-Liouville problems. Application is given to the detailed analysis of an inconsistent, 2nd-order convergent scheme.

References


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DOI: https://doi.org/10.5540/tema.2008.09.01.0115

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

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