Operational Matrix of New Shifted Wavelet Functions for Solving Optimal Control Problem

This paper is devoted to proposing an approximate numerical algorithm based on the use of state parameterization technique in order find solution optimal control problem (OCP). An explicit formula for new shifted wavelet (NSW) functions constructed. A that expresses first-order derivative NSW terms their original established. The development our suggested algorithms begins with extraction a operational matrix from this formula. expansion’s convergence study performed detail, and some illustrative examples OCP are displayed. proposed compared exact one other methods literature. confirms accuracy high efficiency presented algorithm.