The classical example of a linear hyperbolic equation is the wave equation and the 1D Wave Equation shown on the left was solved by the following various solution techniques.

1. 1D Wave Equation Solution with 4th -Order Runge-Kutta Method.

2. 1D Wave Equation Solution with 2nd-Order Runge-Kutta Method.

3. 1D Wave Equation Solution with MacCormack Method.

4. 1D Wave Equation Solution with Two-Step Lax-Wendroff’s Method (LW-II).

5. 1D Wave Equation Solution with Lax-Wendroff’s Method (LW-I).

6. 1D Wave Equation Solution with Leep Frog Method.

7. 1D Wave Equation Solution with Upwind Method.

8. 1D Wave Equation Solution with Lax Method.

9. 1D Wave Equation Solution with FTBS (Forward in Time, Backward in Space) Method.