文章基本信息

标题：Computation of eigenvalues of discontinuous dirac system using Hermite interpolation technique
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作者：Mohammed M Tharwat ; Ali H Bhrawy
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：59
DOI：10.1186/1687-1847-2012-59
语种：English
出版社：Hindawi Publishing Corporation
摘要：We use the derivative sampling theorem (Hermite interpolations) to compute eigenvalues of a discontinuous regular Dirac systems with transmission conditions at the point of discontinuity numerically. We closely follow the analysis derived by Levitan and Sargsjan (1975) to establish the needed relations. We use recently derived estimates for the truncation and amplitude errors to compute error bounds. Numerical examples, illustrations and comparisons with the sinc methods are exhibited. Mathematical Subject Classification 2010: 34L16; 94A20; 65L15.
关键词：Dirac systems ; Hermite interpolations ; transmission conditions ; discontinuous boundary value problems ; truncation and amplitude errors ; sinc methods