Simulation and visualization of wave equation

Abstract

The partial differential equation (PDE) is significant in mathematics, physics, and engineering fields. The PDE model is one of the problems in a real-life situation that is complex to resolve and it involves many variables to be solved. The wave equation is one of the second-order partial differential equations that is commonly used in mathematics and physics. This equation was first studied in the 18^th century by Euler, d'Alembert, Lagrange, and Laplace. In this paper, the finite difference method is used to solve the simple equation and compared with theoretical calculation. The results for the function are verified using Visual C++ programming. The values of error from both methods are compared, which are very small. The results show that the numerical calculation is as accurate as the theoretical method.