Computation of eigenvalues of discontinuous dirac system using Hermite interpolation technique

Springer Science and Business Media LLC - Tập 2012 - Trang 1-22 - 2012
Mohammed M Tharwat1,2, Ali H Bhrawy1,2
1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
2Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

Tóm tắt

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.

Tài liệu tham khảo

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