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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