HUNTERTUTORING

Classical PDEs in one space dimension

Partial differential equations · STEM / applied

Heat equation on a finite rod; Fourier sine/cosine series solutions

Objectives

  • Heat equation on a finite rod; Fourier sine/cosine series solutions
  • Wave equation on a finite interval; d'Alembert's formula (1D)
  • Vibrating string and heat conduction interpretations
  • Steady-state solutions and equilibrium limits
  • Inhomogeneous problems via eigenfunction expansion (introduction)

Study materials