African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

On Laguerre-Gaussians and Fredholm integral equations

    Terhemen Aboiyar1*, David A. Kuhe1 and Mrumun C. Soomiyol2
    1Department of Mathematics, Statistics and Computer Science, University of Agriculture, Makurdi, Nigeria. 2Department of Mathematics and Computer Science, Benue State University, Makurdi, Nigeria.    
Email: [email protected]

  •  Accepted: 29 September 2010
  •  Published: 30 October 2010

Abstract

 

 

The Gaussian and its generalization known as the Laguerre-Gaussians are used in this paper as a collocation basis for Fredholm integral equations of the second kind. The collocation points are chosen so that they coincide with the points around with the interpolant is translated. This leads to a linear system whose solution gives the coefficients of the interpolant. In this study, we have used two examples to illustrate the proposed method and the comparison between exact and numerical solutions shows that the proposed method provides a good approximation to the exact solution.

 

Key words: Gaussians, Laguerre-Gaussians, Fredholm integral equations, collocation.