Finite Difference Method

Transport Equation

• Characteristics method for exact solution

• Consistancy, Stability, Convergence study

  • Central Difference Scheme
  • Upwind Difference Scheme
  • Lax-Friedrichs Scheme
  • Lax-Wendroff Scheme

• Schemes Implementation

  • Central Difference Scheme
  • Upwind Difference Scheme
  • Lax-Friedrichs Scheme
  • Lax-Wendroff Scheme

• Error Analysis

  • L1 Norm

Burgers' Equation

• Characteristics method for exact solution
• Schemes Implementation
• Error Analysis
  • L1 Norm