Accelerated Implicit Single-Step Splitting Iteration Method for a Class of Coupled Lyapunov Equations

A new iteration method for solving a class of Hammerstein type integral equations system

In this work, a new iterative method is proposed for obtaining the approximate solution of a class of Hammerstein type Integral Equations System. The main structure of this method is based on the Richardson iterative method for solving an algebraic linear system of equations. Some conditions for existence and unique solution of this type equations are imposed. Convergence analysis and error bou...

The variational iteration method for a class of tenth-order boundary value differential equations

A Class of Nested Iteration Schemes for Generalized Coupled Sylvester Matrix Equation

Global Krylov subspace methods are the most efficient and robust methods to solve generalized coupled Sylvester matrix equation. In this paper, we propose the nested splitting conjugate gradient process for solving this equation. This method has inner and outer iterations, which employs the generalized conjugate gradient method as an inner iteration to approximate each outer iterate, while each...

a new iteration method for solving a class of hammerstein type integral equations system

in this work, a new iterative method is proposed for obtaining the approximate solution of a class of hammerstein type integral equations system. the main structure of this method is based on the richardson iterative method for solving an algebraic linear system of equations. some conditions for existence and unique solution of this type equations are imposed. convergence analysis and error bou...

An Accelerated Splitting-up Method for Parabolic Equations

We approximate the solution u of the Cauchy problem ∂ ∂t u(t, x) r f r. Under natural conditions on solvability in the Sobolev spaces W m p , we show that for any k > 1 one can approximate the solution u with an error of order δ k , by an appropriate combination of the solutions v r along a sequence of time discretization, where δ is proportional to the step size of the grid. This result is obt...