EGN 5456 Homework 4 Fall 1999

Consider the same one way wave equation with wave growth

u_t + a u_x = u + 1

You are asked to develop a Leapfrog scheme for it, and verify the performance of that scheme.

Some issues you must consider and correctly analyze:

• Consistency
• Stability
• Convergence
• Accuracy
• Physically realistic boundary conditions
• Artificial boundary conditions
• Numerical effort

Verify the analysis numerically. Follow the good coding practices.