Piecewise constant bounds for the solution of nonlinear Volterra-Fredholm integral equations

S. Yazdani, M. Hadizadeh
2012 Computational and Applied Mathemathics  
In this paper, we compute piecewise constant bounds on the solution of mixed nonlinear Volterra-Fredholm integral equations. The enclosures are in the form of intervals which are guaranteed to contain the exact solution considering all round-off and truncation errors, so the width of interval solutions allows us to control the error estimation. An iterative algorithm to improve the accuracy of initial enclosures is given and its convergence are also investigated. Our numerical experiments show
more » ... l experiments show that the precision of interval solutions are reasonable in comparison to the classical methods and the obtained conditions and initial enclosure of the proposed algorithm are not restrictive. Mathematical subject classification: 65G20, 45G10, 65G40.
doi:10.1590/s1807-03022012000200005 fatcat:7kmccofz6zbozcqpglcvioqj54