An Exact Solution of the Binary Singular Problem. (9th April 2014)

• Record Type: Journal Article
• Authors: Sun, Baiqing; Tang, Kun; Zhang, Hongmei; Xiong, Shan
• Other Names: Ji Donghai Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-04-09
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/580497
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Singularity problem exists in various branches of applied mathematics. Such ordinary differential equations accompany singular coefficients. In this paper, by using the properties of reproducing kernel, the exact solution expressions of dual singular problem are given in the reproducing kernel space and studied, also for a class of singular problem. For the binary equation of singular points, I put it into the singular problem first, and then reuse some excellent properties which are applied to solve the method of solving differential equations for its exact solution expression of binary singular integral equation in reproducing kernel space, and then obtain its approximate solution through the evaluation of exact solutions. Numerical examples will show the effectiveness of this method.