An Explicit Difference Method for a Class of Aging Diffusion Equations Group

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Abstract:

Based on the second-order difference formulas of the first and second derivatives, an explicit difference scheme is proposed for a class of aging diffusion equations group. The method is of order and proved to be conditionally stable by Fourier analysis. The difference equation can be solved without iterative for it is an explicit scheme. Numerical results show the efficiency and dependability.

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1982-1986

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June 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Zhou Shun-xing. Difference schemes with high order accuracy for parabolic partial equation. [J]. Mathematics of Computation,1982, 4(2): 204~(2013).

Google Scholar

[2] Tian Zhen-fu. Implicit difference schemes with high order accuracy for inhomogeneous heat conduction equation. [J] Journal Ningxia Univrsity,1996, 17(3): 34~38.

Google Scholar

[3] Ge Yong-bin, Tian Zhen-fu , Wu Wen-quan. Multigrid method based high accuracy full implicit scheme of 3D convection diffusion equation [J]. Journal Shanghai University, 2005, 27(2): 107~111.

Google Scholar

[4] Wei Jianying, Ge Yongbin, Tian Zhenfu. A High-Order Compact Implicit Scheme of the 1D Convection-Diffusion Equation,2007, 28(2): 120~123.

Google Scholar

[5] Lu Jin-fu,Guan Zhi. Numerical solution of partial difference equation. [M]. Beijing:Tsinghua University Press,(1989).

Google Scholar

[6] Thornton AW, Nairn KM, Hill AJ, Hill JM, Huang Y. New relation between diffusion and free volume II Predicting vacancy diffusion. Journal of Membrane Science (2008).

DOI: 10.1016/j.memsci.2009.03.057

Google Scholar

[7] WC. Yu, CSP. Sung, RE. Robertson. Site-specific labeling and the distribution of free volume in glassy polystyrene. Macromolecules 1988; 21: 355.

DOI: 10.1021/ma00180a012

Google Scholar

[8] JJ. Curro, RJ. Roe. Isothermal relaxation of specific volume and density fluctuation in PMMA and BPA PC. Polymer 1984; 25: 1424.

DOI: 10.1016/0032-3861(84)90104-6

Google Scholar

[9] LB. Liu, D. Gidley, A F. Yee. Effect of cyclic stress on structural changes in polycarbonate as probed by positron annihilation lifetime spectroscopy. Journal of Polymer Science Part B: Polymer Physics. 1992; 30: 231.

DOI: 10.1002/polb.1992.090300302

Google Scholar

[10] Fun-Dow Tsay, Amitava Gupta. Studies of magnetic resonance phenomena in polymers. II. Molecular motions in poly(methyl methacrylate) as studied by spin-probe and spin-label methods. Journal of Polymer Science Part B: Polymer Physics. 1987; 25: 855.

DOI: 10.1002/polb.1987.090250413

Google Scholar