| Authors | J. Askari, A. Soadatmandi |
|---|---|
| Journal | Applied Mathematics and Computation |
| Presented by | کاشان |
| Paper Type | Full Paper |
| Published At | 2007 |
| Journal Grade | Scientific - research |
| Journal Type | Typographic |
| Journal Country | United States |
| Keywords | Chebyshev finite difference method Nonlinear second-order differential system Numerical methods Gauss–Lobatto nodes |
Abstract
The Chebyshev finite difference method is presented for solving a nonlinear system of second-order boundary value problems. Our approach consists of reducing the problem to a set of algebraic equations. This method can be regarded as a non-uniform finite difference scheme. Some numerical results are also given to demonstrate the validity and applicability of the presented technique and a comparison is made with the existing results. The method is easy to implement and yields very accurate results.