International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

A general method for finding the exact solution of linear Volterra integral equations of the second kind

H. R. Navabpour1, F. M. Maalek Ghaini1, M. M. Hosseini1 and Syed Tauseef Mohyud-Din2*
  1Department of Mathematics, Yazd University Yazd, Iran. 2Department of Mathematics, HITEC University Taxila Cantt, Pakistan.
Email: [email protected]

  •  Accepted: 20 May 2011
  •  Published: 23 November 2011

Abstract

 

In this paper, a general method is given for the solution of linear Volterra integral equations of the second kind, which is based on the action of the operator defined by the kernel of the integral equation on a suitable basis for the corresponding function spaces. The necessary conditions for using this method are so weak that extends its applicability. The solved examples show the strength of this method.

 

Key words: Volterra integral equations, Fredholm integral equations, integral operators, basis functions.