Click for new scientific resources and news about Corona[COVID-19]

Paper Information

Journal:   INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS   SPRING 2016 , Volume 8 , Number 2; Page(s) 157 To 163.
 
Paper: 

THEORY OF BLOCK-PULSE FUNCTIONS IN NUMERICAL SOLUTION OF FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND

 
 
Author(s):  ABDOLLAHI A.*, BABOLIAN E.
 
* DEPARTMENT OF MATHEMATICS, MARAGHEH BRANCH, ISLAMIC AZAD UNIVERSITY, MARAGHEH, IRAN
 
Abstract: 

Recently, the block-pulse functions (BPFs) are used in solving electromagnetic scattering problem, which are modeled as linear Fredholm integral equations (FIEs) of the second kind. But the theoretical aspect of this method has not fully investigated yet. In this article, in addition to presenting a new approach for solving FIE of the second kind, the theory of both methods is investigated as a main part. By providing a new method based on BPFs for solving FIEs of the second kind, the least squares and non-least squares solutions are defined for this problem. First, the convergence of the non-least squares solution is proved by the Nystrom method. Then, considering the fact that the set of all invertible matrices is an open set, the convergence of the least squares solution is investigated. The convergence of Nystrom method has the main role in proving the basic results. Because the presented convergence trend is independent of the orthogonality of the basis functions, the given method can be applied for any arbitrary method.

 
Keyword(s): BLOCK-PULSE FUNCTIONS, FREDHOLM INTEGRAL EQUATION, LEAST SQUARES APPROXIMATION
 
References: 
  • ندارد
 
  pdf-File tarjomyar Persian Abstract Yearly Visit 79
 
Latest on Blog
Enter SID Blog