Pii: S0378-4754(02)00133-7
نویسنده
چکیده
Tau spectral methods and Adomian’s decomposition can be fruitfully combined to quickly approximate the analytical solution of any time-dependent partial differential equation with boundary conditions defined on the four sides of a rectangle. In this work, combinations of Legendre polynomials have been used to generate orthogonal two-dimensional polynomials on a rectangular domain. The time evolution of the solution is condensed in a set of nonlinear differential equations for the polynomial coefficients. This system can be integrated by using Adomian’s decomposition method with analytic extension or, alternatively, successive approximations, which generate a time series that can be truncated at the required precision order. The result is an analytic approximation to the final solution which can be easily obtained by using any commercial symbolic processor. © 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.
منابع مشابه
Application of the simulated annealing local search technique to problems of redundancy elimination in functional and parametric tests of integrated circuits
Testing Integrated Circuits is a costly process. The present article investigates combinatorial optimization problems reducing subsets of tests, which are redundant in a statistical sense. The solution to those problems is brought about by application of the Simulated Annealing local search technique, which, in turn makes wide use of random number generation.
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