In this paper, linear quadratic optimal control problems are solved by applying least square method based on Bézier control points. We divide the interval which includes t, into k subintervals and approximate the trajectory ...

Abstract: In this paper, linear and nonlinear quadratic optimal control problems are solved by

applying least square method based on Bernstein polynomials. We divide

the interval which includes t , into k ...

In this paper, we present a method for numerical solution of linear and

nonlinear integro-differential equations system. This method, gives solution of the system

by power series and reproduces the analytical ...

In this paper, an important inequality for T , a contraction integral operator, is obtained. From a practical programming point of view, this inequality allows us to express our iterative algorithm with a “for loop” rather ...

In this article, we present a method for numerical approximation of fixed point operator, particularly for the integral one associated to a nonlinear mixed Fredholm–Volterra integral equation, which uses the properties of ...

In this paper we h ave introduced a computational method for a class o f Darboux problem that change to two-dimensional nonlinear Volterra integral equations, based on the expansion o f the solution a s a series of Haar ...

In this paper, we develop an efficient explicit method based on the spectral

parametric iteration method and quasilinearization scheme, which can be used for

the efficient numerical solution of nonlinear ...