An Efficient WLP-Based Method with Operator Splitting Technique for Solving Wave Equation

In this paper, an efficient weighted Laguerre polynomial (WLP) approach with the operator splitting technique is proposed for solving the wave equation. By applying the WLP to eliminate the time variable, the stability limitation of time step in transient simulation is removed. To avoid solving the huge matrix formed by the WLP-based method, an operator splitting scheme using three sub-steps is developed to efficiently implement the marching-on-in-order procedure, by which a linear complexity can be achieved. The accuracy and efficiency of the proposed method are validated by the numerical examples.