Using the Single-Term Haar Wavelet to Solve the State Variable Models of nth-Order Circuits

Abstract

This study is dedicated to investigating the utilization of the single-term Haar wavelet approach for solving a state variable model of nth-order circuits. We provide the matrix calculations in a simplified manner to facilitate comprehension. Furthermore, a numerical mathematical illustration is presented, demonstrating the application of this technique to solving two first-order differential equations with both constant and variable coefficients. The study’s findings unequivocally demonstrate that the suggested approach surpasses previous methods, providing greater levels of accuracy and precision. Moreover, the single-term Haar wavelet approach is exceptionally user-friendly and efficient, necessitating only a minimal amount of processing resources.