Parallel Computing of Jacobin Matrix in Shooting Method for Optimal Control Problem of Wave Equation

The wave equation is an important second-order linear partial differential equation for the description of waves – as-such as sound waves, light waves and water waves. In this article we will consider one-imensional wave equation. We want to solve distributed optimal control and boundary control problems constrained with linearand semilinear wave equation with simple shooting method with parallel algorithm to computing Jacobin matrix in Newton method

Keywords:

shooting method , partial differential equation , Lagrange multiplier rule