Chih-Wen Chang1, Chein-Shan Liu2, Jiang-Ren Chang1
The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.2, pp. 69-80, 2007, DOI:10.3970/icces.2007.003.069
Abstract By using a quasi-boundary regularization we can formulate a two-point boundary value problem of the backward heat conduction equation. The ill-posed problem is analyzed by using the semi-discretization numerical schemes. Then, the
resulting ordinary differential equations in the discretized space are numerically
integrated towards the time direction by the Lie-group shooting method to find the
unknown initial conditions. The key point is based on the erection of a one-step
Lie group element G(T) and the formation of a generalized mid-point Lie group
element G(r). Then, by imposing G(T) = G(r) we can seek the missing initial
conditions through a minimum… More >
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