TITLE:
Numerical Solution of Nonlinear Fredholm-Volterra Integtral Equations via Piecewise Constant Function by Collocation Method
AUTHORS:
A. Shahsavaran
KEYWORDS:
Nonlinear Fredholm-Volterra Integral Equation, Block-Pulse Function, Error Analysis, Collocation Points
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.1 No.2,
June
30,
2011
ABSTRACT: In this work, we present a computational method for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series of well known Block-Pulse functions (BPfs) expansion. Error analysis is worked out that shows efficiency of the method. Finally, we also give some numerical examples.