Volume 13, Issue 2 (7-2013)
2013, 13(2): 363-372 |
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Abstract: (5629 Views)
Inverse time - dependent heat source problems have an important role in many branches
of science and technology. The aim of this paper is to solve these classes of problems using a
variational iteration method(VIM). The method applied does not require discretization of the
region, as in the case of classical methods based on the finite difference method, the boundary
element method or the other methods. Applying this method, we obtain a stable approximation
to an unknown source term in an inverse heat equation from over-specified data that the source
term is only time - dependent. Some numerical examples using this approach are presented and
discussed
of science and technology. The aim of this paper is to solve these classes of problems using a
variational iteration method(VIM). The method applied does not require discretization of the
region, as in the case of classical methods based on the finite difference method, the boundary
element method or the other methods. Applying this method, we obtain a stable approximation
to an unknown source term in an inverse heat equation from over-specified data that the source
term is only time - dependent. Some numerical examples using this approach are presented and
discussed
Keywords: meshless method, inverse heat problem, ill-posed, stable, over - specified data, unknown time - dependent heat source, variational iteration method(VIM), stable approximation
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