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Keywords: Green’s functions
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Journal Articles
Article Type: Research-Article
J. Heat Transfer. October 2014, 136(10): 101301.
Paper No: HT-13-1438
Published Online: July 15, 2014
... given in the “The EVE Method section,” involving the EVE, may be needed to achieve this. Using this method, the steady-state solution can be computed with as few as two or three terms near r  = 0. The solution of the 2D problem using Green's functions [ 1 ] is (18a) T ˜ ( x , r...
Journal Articles
Article Type: Research-Article
J. Heat Transfer. March 2013, 135(3): 031301.
Paper No: HT-12-1167
Published Online: February 14, 2013
... at the boundaries. In both cases, numerical experiments illustrate the improvement of the convergence rate with respect to standard methods. heat equation semi-analytical numerical methods Fourier series Green’s functions Duhamel’s integrals Due to its one-dimensional character, heat conduction...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. November 2008, 130(11): 111301.
Published Online: August 28, 2008
... Green’s functions containing convolution-type integrals, which involve integration over a dummy time, referred to as “cotime.” Two types of Green’s functions are used: one for short cotimes comes from the Laplace transform and the other for long cotimes from the method of separation of variables...