Computation of eigenvalues of discontinuous dirac system using Hermite interpolation technique

Advances in Difference Equations

Ali H Bhrawy¹  Mohammed M Tharwat² 

[1] Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt;Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: Dirac systems;    Hermite interpolations;    transmission conditions;    discontinuous boundary value problems;    truncation and amplitude errors;    sinc methods;   

DOI  :  10.1186/1687-1847-2012-59

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY