Exact and analytic numerical solution of coupled parabolic mixed problems in a semi-infinite medium
This paper deals with the construction of accurate analytic-numerical approximations of coupled parabolic mixed systems. Using sine Fourier transforms, an exact expression of the exact solution is given. Then, given an admissible error epsilon and a time bounded subdomain Omega, an analytic numerical solution is constructed so that the approximation error is less than E in Omega. (C) 2004 Elsevier Ltd. All rights reserved.
sine fourier transform coupled hyperbolic problem diffusion problems