Affiliation:
1. Manisa Celal Bayar University, Faculty of Arts and Sciences, Department of Mathematics, 45000 Manisa, Turkey.
Abstract
In this study, the Bell collocation method is applied to solve system of high order linear delay Fredholm-Volterra integro differential under initial conditions. The numerical method is substantially dependent on the truncated Bell series, their derivatives, and collocation points. By using this method, solutions of the integral system are obtained from the Bell series. Additionally, the error analysis and residual functions are performed, and some examples are provided to indicate the availability and applicability of the method.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
Reference28 articles.
1. Saeed, R.K., Rahman B.M., Australian Journal of Basic and Applied Sciences, 4(8), 3613, 2010.
2. Abdel-Halim, I., Applied Mathematical Modelling, 12, 2552, 2008.
3. Maleknejad, K., Mirzae, F., Abbasbandy, S., Applied Mathematics and Computations, 155, 317, 2004.
4. Zurigat, M., Momani, S., Odibat, Z., Alawneh, A., Applied Mathematical Modelling, 34, 24, 2010.
5. Sun, Y., Galip Ulsoy, A., Nelson, P.W., Feedback control via eigenvalue assignment for time delayed systems using the Lambert W function, Proceedings of the 45th IEEE Conference on Decision and Control, pp. 13-15, 2006.