Solving the Kuramoto-Sivashinsky equation via Variational Iteration Method

The variational iteration method for solving Nagumo telegraph equation

the variational iteration method for solving nagumo telegraph equation

Solving the Fisher’s Equation by Means of Variational Iteration Method

In this paper, we consider variational iteration method (VIM) to obtain exact solution to the Fisher’s equation. The variational iteration method is based on Lagrange multipliers for identification of optimal value of parameters in a functional. Using this method, it is possible to find the exact solution or an approximate solution of the problem.

Inertial Manifolds for the Kuramoto-sivashinsky Equation

A new theorem is applied to the Kuramoto-Sivashinsky equation with L-periodic boundary conditions, proving the existence of an asymptotically complete inertial manifold attracting all initial data. Combining this result with a new estimate of the size of the globally absorbing set yields an improved estimate of the dimension, N ∼ L.

Feedback control of the Kuramoto – Sivashinsky equation

This work focuses on linear finite-dimensional output feedback control of the Kuramoto–Sivashinsky equation (KSE) with periodic boundary conditions. Under the assumption that the linearization of the KSE around the zero solution is controllable and observable, linear finite-dimensional output feedback controllers are synthesized that achieve stabilization of the zero solution, for any value of ...