Classical PDEs in one space dimension
Partial differential equations · Standard syllabus
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
- Practice testComing soon