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 new technique for systems of Abel-Volterra integral equations

Jafar Biazar1* and  H. Ebrahimi2      
1Department of Mathematics, Rasht branch, Islamic Azad University, P. O. Box 41335-3516, Rasht, Iran. 2Faculty of Mathematical Science, University of Guilan, P. O. Box. 41635-19141, P. C. 4193833697, Rasht, Iran.  
Email: [email protected]

  •  Accepted: 08 September 2011
  •  Published: 02 January 2012

Abstract

Extension of a computational method for solving a special kind of singular system is the novelty of this paper. These systems are called systems of Abel Volterra integral equations. This method is based on the application of Legendre wavelets, as a basis functions for numerical solutions. Some examples are presented to illustrate the efficiency and the simplicity of the method.
 
Key words: Systems of Abel Volterra integral equations, Legendre wavelets method, operational matrices.