High-accuracy Alternating Difference Scheme for the Fourth-order Diffusion Equation

In this paper, a highly accurate parallel difference scheme for the fourth-order diffusion equation is studied. Based on a group of new Saul’yev type asymmetric difference schemes, a high-order, unconditionally stable and parallel alternating group explicit scheme is derived. The scheme is fourth-order truncation error in space, which is much more accurate than the known methods. Numerical experiments are performed to examine the convergence, unconditional stability and accuracy. A comparison of the accuracy of this scheme with the prior AGE methods is presented.