Uniform-Parameter Spline Method for Solving Non-Fourier Heat Conduction Problems

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.