Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
815767 | Ain Shams Engineering Journal | 2015 | 9 Pages |
Abstract
We propose a numerical method for solving singularly perturbed one-dimensional non-linear parabolic problems. The equation converted to the nonlinear ordinary differential equation by discretization first in time then subsequently in each time level we use the Sinc collocation method on the ordinary differential equation. The convergence analysis of proposed technique is discussed, and it is shown that the approximate solution converges to the exact solution at an exponential rate as well. We know that the conventional methods for these types of problems suffer due to decreasing of perturbation parameter, but the Sinc method handles such difficulty. For efficiency and accuracy of the method, we validate the proposed method by several examples. The numerical results confirm the theoretical behavior of the rates of convergence.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Jalil Rashidinia, Ali Barati,