This paper presents an effective numerical method for solving a class of nonlinear VolterraFredholm integral equations by using the hybrid functions of Legendre polynomials and block-pulse functions. The proposed method which differs with previous approaches, attemp ts to use the exact forms of known functions in solving the integral equation. So its accuracy appropriately increases and the com...

The parametric identification of Hammerstein structured nonlinear systems with discontinuous asymmetric (two segment piecewise-linear a dead-zone) nonlinearity and input time delay is presented using fractional-order modeling technique. effect the unknown dead-zone separated from linear dynamics special excitation signals to simplify process. use fractional calculus permits reduced order dynami...

A method for finding the optimal control of singular system with a quadratic cost functional using block pulse function is discussed. After introducing block pulse function in the beginning we develop an operational matrix for solving singular state equations. A numerical example is included to demonstrate the validity and applicability of the technique. Keywords— Optimal control, Singular syst...

The method of triangular functions (TF) could be a generalization form of the functions of block-pulse (Bp)‎. ‎The solution of second kind integral equations by using the concept of TF would lead to a nonlinear equations system‎. ‎In this article‎, ‎the obtained nonlinear system has been solved as a dynamical system‎. ‎The solution of the obtained nonlinear system by the dynamical system throug...

In this paper, a computational technique is proposed for solving a nonlinear backward stochastic differential equation involving standard Brownian motion. The method is presented via the block pulse functions in combination with the collocation method. With using this approach, the nonlinear backward stochastic differential is reduced to a stochastic nonlinear system of 2m equations and 2m unkn...