In this paper, we present a new convergence rate for both symmetric and nonsymmetric positive definite problems. In our theory, “regularity and approximation” assumption is used. A new rate of convergence estimate with ...

In this paper, we present a method for numerical solution of linear Volterra integro - differential equations with boundary conditions. First, we obtain variational form of the problem, and then, finite element

method ...

In this paper, a new method based on neural network is developed for obtaining the solution of the Navier–Stokes equations in an analytical function form. The solution procedure is based upon forming a trial solution ...

This paper presents a new version of the successive approximations method for solving Sylvester equations AX − XB = C, where A and B are symmetric negative and positive definite matrices, respectively. This method is based ...