Communications in Numerical Methods in Engineering - Articles published in this section are of a more general engineering nature and do not necessarily have biomedical applications
The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
Article first published online: 9 JUL 2009
Copyright © 2009 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Biomedical Engineering
Volume 27, Issue 2, pages 219–231, February 2011
How to Cite
Dehghan, M., Yousefi, S. A. and Lotfi, A. (2011), The use of He's variational iteration method for solving the telegraph and fractional telegraph equations. Int. J. Numer. Meth. Biomed. Engng., 27: 219–231. doi: 10.1002/cnm.1293
- Issue published online: 8 JAN 2010
- Article first published online: 9 JUL 2009
- Manuscript Accepted: 22 MAY 2009
- Manuscript Received: 5 MAR 2009
- telegraph equation;
- variational iteration method;
- semi-analytical solution
In this paper the variational iteration method is used to compute the solution for the linear, variable coefficient, fractional derivative and multi space telegraph equations. The method constructs a convergent sequence of functions, to approximate the exact solution with a few number of iterations without discretization. Numerical results and comparison with exact solutions are given for some examples in order to show its applicability and efficiency. Copyright © 2009 John Wiley & Sons, Ltd.