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The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
Author(s) -
Dehghan Mehdi,
Yousefi S. A.,
Lotfi A.
Publication year - 2011
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1293
Subject(s) - telegrapher's equations , discretization , mathematics , fractional calculus , sequence (biology) , exact solutions in general relativity , iterative method , variable (mathematics) , space (punctuation) , mathematical analysis , telegraphy , mathematical optimization , computer science , telecommunications , transmission line , computer network , biology , telephony , genetics , operating system
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.