01287877

j

01287877 Sahimi, M.S. Sundararajan, E. Hanawi, S.A. The iterative alterning decomposition explicit (IADE) method to solve second order parabolic equations with periodic boundary conditions. Int. J. Comput. Math. 70, No.3, 453-465 (1999). 1999 Taylor \& Francis, Abingdon EN parabolic equations finite differences alternating decomposition periodic initial-boundary value problem iterative algorithm numerical examples

doi:10.1080/00207169908804767

A periodic initial-boundary value problem for a one-dimensional parabolic equation is considered. Starting from weighted two-level schemes with a usual three-point discretization of the second derivative, the matrix of the algebraic system is decomposed using two-diagonal circulant matrices. The resulting explicit iterative algorithm is displayed. Numerical examples showing relatively high accuracy of the solutions are presented. A.I.Tolstykh (Moskva)