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 ...