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- Title
High-accuracy Alternating Difference Scheme for the Fourth-order Diffusion Equation.
- Authors
Geyang Guo; Shujuan Lü
- Abstract
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.
- Subjects
STOCHASTIC convergence; HEAT equation; GROUP theory; STABILITY theory; SUBTRACTION (Mathematics)
- Publication
IAENG International Journal of Applied Mathematics, 2017, Vol 47, Issue 3, p295
- ISSN
1992-9978
- Publication type
Article