Numerical Solution of Nonlinear Fredholm-Volterra Integtral Equations via Piecewise Constant Function by Collocation Method

The integral equation method is widely used for solving many problems in mathematical physics and engineering. This article proposes a computational method for solving nonlinear Fredholm-Volterra integral equations. Several numerical methods for approximating the solution of linear and nonlinear integral equations and specially FredholmVolterra integral equations are known [1-10]. Also, BlockPulse functions are studied by many authors and applied for solving different problems. In presented paper, by using vector forms of BPfs, the main problem can be easily reduced to a nonlinear system of algebraic equations which can be solved by Newton’s iterative method.