Wave Propagation in a Rectangle

Consider the propagation of a wave in a rectangle.[l] The dimensionless concentration profile is governed by  

8 Laplace Transform Technique for Partial Differential Equations 

The governing equation and the boundary condition are converted to the Laplace domain  

The solution obtained in the Laplace domain is converted to the time domain here u =invlaplace(U(x),s,t)  

---

Example 10.6. Wave Propagation in a Rectangle with Consistent Initial/Boundary Conditions. 

Consider wave propagation in a rectangle (Schiesser, 1991). For simplicity and illustration purpose, consistent initial/boundary conditions are taken ... 

---