NumericalAnalysis-C8-Partial-Differential-Equations

Catalogue

• 1 Parabolic Equations
  • 1.1 Forward Difference Method
  • 1.2 Stability analysis of Forward Difference Method
  • 1.3 Backward Difference Method
  • 1.4 Crank–Nicolson Method
• 2 Hyperbolic Equations
  • 2.1 The wave equation
  • 2.2 The CFL condition
• 3 Elliptic Equations
  • 3.1 Finite Difference Method for elliptic equations
• 4 Reality Check 8: Heat distribution on a cooling fin
  • 4.1 Finite Element Method for elliptic equations
• 5 Nonlinear partial differential equations
  • 5.1 Implicit Newton solver
  • 5.2 Nonlinear equations in two space dimensions

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