Approximation of eigenvalues of boundary value problems

Boundary value problems

Saleh M Al-Harbi¹  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, North Jeddah, Saudi Arabia

关键词: sinc-Gaussian;    sinc-method;    Dirac systems;    transmission conditions;    discontinuous boundary value problems;    truncation and amplitude errors;   

DOI  :  10.1186/1687-2770-2014-51

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present paper we apply a sinc-Gaussian technique to compute approximate values of the eigenvalues of discontinuous Dirac systems, which contain an eigenvalue parameter in one boundary condition, with transmission conditions at the point of discontinuity. The error of this method decays exponentially in terms of the number of involved samples. Therefore the accuracy of the new technique is higher than the classical sinc-method. Numerical worked examples with tables and illustrative figures are given at the end of the paper showing that this method gives us better results. MSC: 34L16, 94A20, 65L15.

【 授权许可】

CC BY