Finite difference discretization of a fourth-order parabolic equation describing crystal surface growth

Zhao Xiaopeng; Liu Fengnan; Liu Bo

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Finite difference discretization of a fourth-order parabolic equation describing crystal surface growth

机译：第四阶抛物线方程的有限差分离散化描述晶体表面生长的四阶抛物线方程

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摘要

In this paper, by using finite difference method, we consider the approximate solutions for a fourth-order parabolic equation describing crystal surface growth.

机译：本文通过使用有限差分法，考虑描述晶体表面生长的四阶抛物线方程的近似解。

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来源
《Applicable Analysis》 |2015年第10期|共12页
作者
Zhao Xiaopeng; Liu Fengnan; Liu Bo;
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作者单位

Jiangnan Univ Sch Sci Wuxi 214122 Peoples R China;

Jilin Univ Coll Math Changchun 130012 Peoples R China;

Jilin Univ Coll Math Changchun 130012 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
finite difference scheme; fourth order parabolic equation; convergence; error estimate;

机译：有限差分方案;第四阶抛物线方程;收敛;误差估计;
入库时间 2022-08-20 01:15:37

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专利

1. Finite difference discretization of a fourth-order parabolic equation describing crystal surface growth [J] . Zhao Xiaopeng, Liu Fengnan, Liu Bo Applicable Analysis . 2015,第9a10期

机译：第四阶抛物线方程的有限差分离散化描述晶体表面生长的四阶抛物线方程
2. Finite difference scheme with spatial fourth-order accuracy for a class of time fractional parabolic equations with variable coefficient [J] . Qinghua Feng, Fanwei Meng Advances in Difference Equations . 2016,第1期

机译：一类时变系数分数阶抛物方程的空间四阶精度有限差分格式
3. Optimal control for a higher-order nonlinear parabolic equation describing crystal surface growth [J] . Ning Duana, Xiaopeng Zhao Nonlinear Analysis : Modelling and Control . 2018,第2期

机译：描述晶体表面生长的高阶非线性抛物方程的最优控制
4. A comparison of the performance of finite difference time-domain, finite element time-domain, and discrete surface integral equation methods on high performance parallel computers [C] . Gedney, S.D. . 1994

机译：高性能并行计算机上有限差分时域，有限元时域和离散表面积分方程方法的性能比较
5. Numerical boundary conditions for the fourth-order accurate finite-difference time-domain solution of Maxwell's equations. [D] . Hwang, Kyu-Pyung. 2002

机译：麦克斯韦方程组四阶精确有限差分时域解的数值边界条件。
6. Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations [O] . Varun Shankar, Aaron L. Fogelson -1

机译：对流扩散方程基于径向粘度的径向基函数-有限差分（RBF-FD）离散化的稳定化
7. Time-periodic solution for a fourth-order parabolic equation describing crystal surface growth [O] . Zhao Xiaopeng, Liu Bo, Duan Ning 2013

机译：描述晶体表面生长的四阶抛物线方程的时间周期解
8. Non-Dissipative Staggered Fourth-Order Accurate Explicit Finite Difference Scheme for the Time-Domain Maxwell's Equations [R] . Yefet, A. , Petropoulos, P. G. 1999

机译：时域麦克斯韦方程组的非耗散交错四阶精确显式有限差分格式

Finite difference discretization of a fourth-order parabolic equation describing crystal surface growth

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