An accurate space time pseudospectral method for solving nonlinear multi-dimensional heat transfer problems

No Thumbnail Available
Issue Date
2017
Authors
Zogheib, Bashar
Tohidi, Emran
Keywords
Type
Journal Article
Peer-Reviewed
Abstract
In this paper, we consider the numerical solution of the nonlinear one- and two-dimensional heat transfer problems subject to the given initial conditions and linear Robin boundary conditions. We propose a pseudospectral scheme in both time and spatial discretizations for these problems. The discretization processes are constructed through the multi-variate interpolation of the desired solutions in terms of Chebyshev Gauss Lobbato collocation points. Operational matrices of differentiation are constructed via the tensor products for speeding up of the proposed numerical algorithms’ implementation. Some test problems are provided and the numerical simulations are illustrated to show the spectral accuracy in both space and time of the suggested scheme.
Citation
External link