SOLVING DIFFERENTIAL EQUATIONS IN THE RICCATI MATRIX WITH AN ADVANCED VARIATIONAL ITERATION METHOD

The convergence of the iterative procedure's approximate solution is investigated. By applying the variational iteration method (VIM) to the general solution form of iterative approximate solutions, a novel variational iteration scheme is created with a faster convergence rate to an approximate solution after a limited number of iterations. The updated strategy accelerated the process of obtaining the exact solution by employing the Lagrange multiplier to build an extra correction function.