The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
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...
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| Veröffentlicht in: | International journal for numerical methods in biomedical engineering 2011-02, Vol.27 (2), p.219-231 |
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| container_title | International journal for numerical methods in biomedical engineering |
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| creator | Dehghan, Mehdi Yousefi, S. A. Lotfi, A. |
| description | 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. |
| doi_str_mv | 10.1002/cnm.1293 |
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| ispartof | International journal for numerical methods in biomedical engineering, 2011-02, Vol.27 (2), p.219-231 |
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| subjects | Approximation Derivatives Discretization Exact sciences and technology Exact solutions Iterative methods Mathematical analysis Mathematical models Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use semi-analytical solution telegraph equation variational iteration method |
| title | The use of He's variational iteration method for solving the telegraph and fractional telegraph equations |
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