Numerical Solution of Fractional Order Bagley–Torvik Equation Via Hermite Wavelet Method

Abstract In this article, we studied an approximating technique, namely, the Hermite wavelet method (HWM), for the solution of the fractional order Bagley–Torvik equation (BTE). The proposed HWM uses polynomials known as the Hermite polynomial which are the basis for this method. This method involves using the collocation points to convert the differential equation under consideration into an algebraic system of equations that are solved numerically. The approximate solution for the given fractional order differential equation is also visualized graphically. Two test problems are considered and evaluated for justification of our results. The results of the proposed method are found to be easily obtained and to be almost identical to the exact solution. In addition to being simple computationally and less complicated than other numerical techniques, the suggested methodology also yields more accurate results.