Chapter 6

PDEs

Listing 6.1: Heat equation (Mathcad 11+)
Listing 6.1+: Heat equation (explanation)
Listing 6.2: Explicit Euler method for Heat Eq.
Listing 6.2+: Explicit Euler method (instable case)
Listing 6.3: Implicit Euler method for Heat Eq.
Listing 6.4: Sweep algorithm
Figure 6.10: Nonlinear Heat Equation - Heat waves
Figure 6.11: Nonlinear Heat Equation - Heat localization
Listing 6.5: 2D Poisson Equation (relaxation technique)
Listing 6.5+: 2D Poisson Equation (relaxation technique) - 2
Listing 6.6: 2D Poisson Equation ( multigrid technique)
Listing 6.7: 1D Time-dependent Heat Equation ("cross")
Listing 6.8: Wave Equation (Mathcad 11+)
Listing 6.9: Advection Equation
Listing 6.9+: Advection Equation
Figure 6.21, 22: Nonlinear Advection Equation
Figure 6.23: Nonlinear Advection - 2 (negative speed)
Listing 6.10: Advection Equation - diamond template
Listing 6.10+: Advection Equation - diamond template - Shock waves
Figure 6.24, 25: Burgers' Equation
Listing 6.11: 1st Differential Estimation
Figure 6.36: Pseudo convergence

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