Legendre Multi-wavelets to Solve Oscillating Magnetic Fields Integro-differential Equations

In recent years, there has been an increase usage among scientists and engineers to apply wavelet technique to solve both linear and nonlinear problems [1-5]. The main advantage of the wavelet technique is its ability to transform complex problems into a system of algebraic equations. The overview of this method can be found in [6-15]. In this research, an integro-differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered. We use linear Legendre multi-wavelets on the interval [0, 1) to solve this problem. Numerical examples are provided to show the high accuracy, simplicity and efficiency of this method.