A one-grid-overlapped spectral multidomain method for the PDEs

AbstractIn this paper, a novel Chebyshev pseudospectral multidomain technique is introduced for the numerical solution of the partial differential equations. Careful consideration is given to the proper interface condition, which decomposes the solution domain into subdomains by overlapping one grid point. The effectiveness of the technique is illustrated for the solution of the partial differential equations exhibiting ‘weak’ or discontinuous solutions