• DocumentCode
    2071251
  • Title

    Numerical solution of Fredholm integral equations by using Bernstein polynomials

  • Author

    Hou, Jianhua ; Yang, Changqing ; Wang, Shunxu

  • Author_Institution
    Dept. of Sci., Huaihai Inst. of Technol., Lianyungang, China
  • Volume
    1
  • fYear
    2010
  • fDate
    10-12 Dec. 2010
  • Firstpage
    427
  • Lastpage
    430
  • Abstract
    A numerical solution to solve Fredholm integral equation is presented in this work. The method is based on the replacement of unknown functions through Bernstein polynomials. The collocation method transforms the Fredholm equations into a system of algebraic equations. Also, convergence and rate of convergence are given. The procedure has great potential to be implemented in more complex systems where there are no exact solutions available except approximations.
  • Keywords
    Fredholm integral equations; polynomials; Bernstein polynomials; Fredholm integral equations; algebraic equations; collocation method; Equations; Bernstein polynomials; collocation method; integral equation; numerical method.;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Progress in Informatics and Computing (PIC), 2010 IEEE International Conference on
  • Conference_Location
    Shanghai
  • Print_ISBN
    978-1-4244-6788-4
  • Type

    conf

  • DOI
    10.1109/PIC.2010.5687588
  • Filename
    5687588
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2071251