On the estimate the $L<sub>2</sub>$ and $L<sub>∞</sub>$ norm of the error for the initial value problems

Authors

  • Hasan M. Ymeri

DOI:

https://doi.org/10.1285/i15900932v15n1p121

Abstract

Our objective in this paper is to examine conditions under which the variational principle has a global extremal properties and to complete the error estimate procedure of [5].We will use the value of the functional to estimate the $L2$ and $L_∈fty$ norm of the error for the initial value problems, described by a non-linear second order differential equation belonging to the class treated in [5]. In our analysis integral inequalities given in [1-4] are of central importance.The analysis will be illustrated by an concrete example.

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Published

01-01-1995

Issue

Volume 15, Issue 1 (1995)

Section

Articoli

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