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A modified VIM for solving an inverse heat conduction problem
In this paper, we will use a modified variational iteration method (MVIM) for solving an inverse heat conduction problem (IHCP). The approximation of the temperature and the heat flux at are considered. This method is based on the use of Lagrange multipliers for the identification of optimal values of parameters in a functional in Euclidian space. Applying this technique, a rapid convergent s...
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in this paper, we demonstrate the existence and uniqueness a semianalytical solution of an inverse heat conduction problem (ihcp) in the form: ut = uxx in the domain d = {(x, t)| 0 < x < 1, 0 < t t}, u(x, t) = f(x), u(0, t) = g(t), and ux(0, t) = p(t), for any 0 t t. some numerical experiments are given in the final section.
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ژورنال
عنوان ژورنال: The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
سال: 1902
ISSN: 1941-5982,1941-5990
DOI: 10.1080/14786440209462827