An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh

Keyphrases

• Stability Analysis 100%
• Unconditionally Stable 100%
• Parabolic PDEs 100%
• Convergence Analysis 100%
• Finite Difference Discretization 100%
• Mesh Movement 100%
• Moving Mesh 100%
• Numerical Experiments 50%
• Time Integration Schemes 50%
• Semi-discretization 50%
• Second-order Accurate 50%
• Adaptive Method 50%
• Backward Euler Method 50%
• L2 Norm 50%
• Energy Method 50%
• Crank-Nicolson Scheme 50%
• Parabolic Problems 50%
• Spatial Discretization 50%
• Central Finite Difference Scheme 50%

Engineering

• Diffusive 100%
• Moving Mesh 100%
• Discretization 100%
• Partial Differential Equation 100%
• Numerical Experiment 50%
• Adaptive Method 50%
• Spatial Discretization 50%
• Euler Scheme 50%
• Backward Euler 50%
• Backup 50%

Mathematics

• Partial Differential Equation 100%
• Discretization 100%
• Parabolic 100%
• Finite Difference Method 100%
• Numerical Experiment 50%
• Time Integration 50%
• Parabolic Problem 50%
• Euler Scheme 50%
• Spatial Discretization 50%