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Abstract
From the theoretical basis of the parameter spline method, this study establishes a simple computing procedure to solve multidimensional non-Fourier heat conduction problems. Compared with the ordinary finite-difference method and the traditional cubic spline method, this method is similar in computing process, but the numerical results increase by two-order accuracy without adding computer load. It also can solve for numeric oscillations due to discontinuous wavefront edge points during conduction.
The authors are grateful for the subsidy of Outlay NSC 97-2221-E-432-003, given by the National Science Council, the Republic of China, to help us finish this special research successfully.