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An Error estimation in Sturm- Liouville boundary-value problem

✍ Scribed by H. Yano; N. Kitahara

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
332 KB
Volume
305
Category
Article
ISSN
0016-0032

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✦ Synopsis

A general error estimate is presented for any given approximate solution for a Sturm-Liouville boundary-value problem. The present formula permits the estimation of the bounds for the square norm of error of a given solution so long as it is piecewise twice-differentiable. Therefore, it is also possible to estimate the error occurring in a finite-element formulation with splint-approximation for this boundary-value problem.

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