Chebyshev spectral collocation in space and time for the heat equation
Chebyshev spectral collocation in space and time for the heat equation
Spectral methods can solve elliptic partial differential equations (PDEs) numerically with errors bounded by an exponentially decaying function of the number of modes when the solution is analytic. For time-dependent problems, almost all focus has been on low-order finite difference schemes for the time derivative and spectral schemes for the …