in this paper, we propose a parametric uniform approximation method to solve np-hard absolute value equations. for this, we uniformly approximate absolute value in such a way that the nonsmooth absolute value equation can be formulated as a smooth nonlinear equation. by solving the parametric smooth nonlinear equation using newton method, for a decreasing sequence of parameters, we can get the ...

In this paper, we consider the Post Einstein Planetary equation of motion. We succeeded in offering a solution using second approximation method, which obtained eight exact mathematical solutions that rebel amazing theoretical results. To order C-2, two these are reduced to approximate from method successive approximations.

fractional calculus has been used to model the physical and engineering processes that have found to be best described by fractional differential equations. for that reason, we need a reliable and efficient technique for the solution of fractional differential equations. the aim of this paper is to present an analytical approximation solution for linear and nonlinear multi-order fractional diff...

A near-optimal control with a quadratic performance index for singularly perturbed bilinear systems is considered. The proposed algorithm decomposes the full order system into the slow and fast subsystems, and optimal control laws for the corresponding subsystems are obtained by using the successive approximation of a sequence of Lyapunov equations. On the basis of composition we obtain the glo...

This paper gives the comparison of some iterative methods (Jacobi method, Gauss–Seidel method and the Successive over-relaxation method) for solving systems of linear equations with their asynchronous implementations. Experiments show the effectiveness of asynchronous iterative methods for solving linear algebra problems on parallel multiprocessor systems.

A functional equation in dynamic programming is developed using multistage allocation processs. The existence of the solution of this equation is proved using caratheodory successive approximation process. Uniqueness of the solution is established.