Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem
نویسندگان
چکیده
منابع مشابه
Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem
*Correspondence: [email protected] School of Mathematical Science, Qufu Normal University, Jingxuanxi Road 57, Qufu, Shandong 273165, P.R. China Abstract One class of singular integral equations of convolution type with Hilbert kernel is studied in the space L2[–π ,π ] in the article. Such equations can be changed into either a system of discrete equations or a discrete jump problem depending o...
متن کاملAn effective method for approximating the solution of singular integral equations with Cauchy kernel type
In present paper, a numerical approach for solving Cauchy type singular integral equations is discussed. Lagrange interpolation with Gauss Legendre quadrature nodes and Taylor series expansion are utilized to reduce the computation of integral equations into some algebraic equations. Finally, five examples with exact solution are given to show efficiency and applicability of the method. Also, w...
متن کاملThe method of Kantorovich majorants to nonlinear singular integral equations with Hilbert kernel
This paper concerned with applicability of the method of Kantorovich majorants to nonlinear singular integral equations with Hilbert kernel . The results are illustrated in Hölder space. RESUMEN Este art́ıculo es concerniente a la aplicabilidad del método de mayorantes de Kantorovich para ecuaciones integrales singulares no lineales con núcleo de Hilbert. Los resultados son aplicaciones en espac...
متن کاملOn the collocation methods for singular integral equations with Hilbert kernel
In the present paper, we introduce some singular integral operators, singular quadrature operators and discretization matrices of singular integral equations with Hilbert kernel. These results both improve the classical theory of singular integral equations and develop the theory of singular quadrature with Hilbert kernel. Then by using them a unified framework for various collocation methods o...
متن کاملA Discrete Singular Convolution Method for the Seepage Analysis in Porous Media with Irregular Geometry
A novel discrete singular convolution (DSC) formulation is presented for the seepage analysis in irregular geometric porous media. The DSC is a new promising numerical approach which has been recently applied to solve several engineering problems. For a medium with regular geometry, realizing of the DSC for the seepage analysis is straight forward. But DSC implementation for a medium with ir...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2017
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1413-x