Abstract
A new methodology is developed for solving 2-D Laplace equation (heat conduction problem) within a doubly connected region with prescribed temperature and heat flux distribution along outer or inner prescribed boundary. Both direct problem (with specified geometry of the other boundary) and inverse problem (with prescribed temperature or heat flux distribution along the other boundary) can be solved by this method. The computation work needed is very simple and can be programed with a very small computer such as Sharp PC-1500. This method can be extended to a 3-D one also.
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