Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638047 | Journal of Computational and Applied Mathematics | 2016 | 14 Pages |
Abstract
In this paper, we introduce Shifted Orthonormal Bernstein Polynomials (SOBPs) and derive the operational matrices of integration and delays for these polynomials. Then, we apply them to convert the pantograph equations to a system of linear equations. An important property of this method is that the condition number of the coefficient matrix of the system is small which confirms that our method is stable. Error analysis and comparison with other methods are given to confirm the validity, efficiency and applicability of the proposed method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shahnam Javadi, Esmail Babolian, Zeinab Taheri,