مقاله Product quasi-interpolation method for weakly singular integral equation eigenvalue problem : تی پی بین

خلاصه مقاله

Adiscrete method of accuracyO(h^m) is constructed to solve the integral equation eigenvalue problem λφ(x) =ʃ¹ ₋₁ K(x, y)φ(y)dy, where K(x, y) = log|x−y| or K(x, y) = |x−y|^−α, 0<α<1, φ(x) being the eigenfunction associated with the eigenvalue λ. The method is based first on improving the boundary behavior of the exact solution φ(x) with the help of a change of variables, and second on the product integration method based on a discrete spline quasi-interpolant (abbr. dQI) of order m.

نویسندگان

P. Sablonnière [ Centre de Mathématiques, INSA de Rennes, CS 14315, 35043 Rennes Cedex, France ]

D. Sbibih [ Département de Mathématiques et Informatique, Faculté des Sciences, Oujda, Morocco ]

M. Tahrichi [ Département de Mathématiques et Informatique, Faculté des Sciences, Oujda, Morocco ]

کلمات کلیدی

Eigenvalue problem Spline quasi interpolation Product integration methods

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Mathematics and Computers in Simulation

The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles.

حوزه های تحت پوشش : Mathematics and Computers