The Comparison for Several Difference Methods in Heat Conduction Equations
In this paper, one-dimensional heat conduction equations is studied, many difference Schemes have been proposed to solve it. In order to find a high accuracy difference scheme in all the methods, we give a numerical experimentation in this paper. by numerical experimentation, a high accuracy difference scheme for solving Heat conduction equations initial boundary value problem is found, according to the truncation error and stability analysis ,we find its accuracy is better-then- third-order in time and space direction. this is a valuable method and better then the others this is a high accuracy difference Scheme. this scheme is a valuable method in Heat conduction and Fluid mechanics.
Helen Zhang and David Jin
F. L. Meng "The Comparison for Several Difference Methods in Heat Conduction Equations", Advanced Materials Research, Vols. 282-283, pp. 399-402, 2011