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

Operational matrix approach for the nonlinear Volterra-Fredholm integral equations: Arising in physics and engineering

B. Basirat1*, K. Maleknejad2 and E. Hashemizadeh2      
1Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran. 2Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.  
Email: [email protected]

  •  Accepted: 28 June 2011
  •  Published: 09 January 2012


An approximation method based on hybrid Legendre polynomials and Block-Pulse functions used for the solution of nonlinear Volterra-Fredholm integral equations (NV-FIEs). The operational matrices of these functions are utilized to reduce a nonlinear Volterra-Fredholm integral equation to a system of nonlinear algebraic equations. In addition, convergence analysis and numerical examples that illustrate the pertinent features of the method are presented.


Key words: Hybrid functions, nonlinear integral equations, operational matrix, product matrix, coefficient matrix.