Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506330 | Applied Mathematics and Computation | 2005 | 13 Pages |
Abstract
This paper uses the sinc methods to construct a solution of the Laplace's equation using two solutions of the heat equation. A numerical approximation is obtained with an exponential accuracy. We also present a reliable algorithm of Adomian decomposition method to construct a numerical solution of the Laplace's equation in the form a rapidly convergence series and not at grid points. Numerical examples are given and comparisons are made to the sinc solution with the Adomian decomposition method. The comparison shows that the Adomian decomposition method is efficient and easy to use.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kamel Al-Khaled,