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A uniformly convergent difference method for the periodical boundary value problem

✍ Scribed by G.M. Amiraliyev; H. Duru

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 471 KB
Volume: 46
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(03)90135-0

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✦ Synopsis

The periodical boundary value problem for linear second-order ordinary differential equation with small parameter by the first and second derivatives is considered. By the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with weight and remainder term in integral form, an exponentially fitted difference scheme is constructed in a uniform mesh which gives first-order uniform convergence in the discrete maximum norm. Numerical experiments support these theoretical results.

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