David Neilsen, Physics 387N

Project 2

Wave Equation in one dimension

With periodic boundary conditions

About these simulations

• Initial data
• Time 0.36 (100 iterations)
• Time 0.72 (200 iterations)
• Time 0.9 (250 iterations) The wave approaches boundary
• Time 1.08 (300 iterations) The wave begins passing through the right boundary
• Time 1.44 (400 iterations) The wave passes off screen at the right and reappears on the left

• Convergence factor

With Equation with radiation boundary conditions

• Initial data
• Time 0.36 (100 iterations)
• Time 0.72 (200 iterations)
• Time 0.9 (250 iterations) The wave approaches boundary
• Time 1.08 (300 iterations) The wave passing through the boundary
• Time 1.44 (400 iterations) Numerical noise reflected from the boundary

• Convergence factor