期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类椭圆边值问题紧有限差分方法的单调迭代算法 被引量：1

Monotone Iterative Algorithm of Compact Finite Difference Method for a Class of Elliptic Boundary Value Problems
下载PDF
导出
摘要 对一类二维常系数半线性椭圆边值问题的四阶紧有限差分方法,建立了有效的单调迭代算法,给出相应的收敛性分析,并通过数值实验验证了理论分析的正确性。 An effective monotone iterative algorithm is proposed for the fourth-order compact finite difference scheme of a class of two dimensional semi-linear elliptic boundary value problems. We analyze convergence rate of this iterative algorithm,give numerical results to show effective-ness of the algorithm.
作者 武文佳
机构地区 上海电机学院数理教学部
出处 《上海电机学院学报》 2014年第5期283-287,310,共6页 Journal of Shanghai Dianji University
基金 上海高校青年教师培养资助计划项目资助(ZZSDJ13020)
关键词 半线性椭圆边值问题 单调迭代算法 收敛率 semi-linear elliptic boundary value problem monotone iterative algorithm con-vergence rate
分类号 O241.82 [理学—计算数学]
  • 相关文献

参考文献13

  • 1Banks H T.Modeling and control in the biomedical sciences[M].Berlin,Heidelberg,New York:SpringerVerlag,1975:45-49.
  • 2zisik M N.Boundary Value Problems of Heat Conduction[M].New York:Dover Publications,1989:20-24.
  • 3Berikelashvili G,Gupta M M,Mirianashvili M.Convergence of fourth order compact difference schemes for three-dimensional convection-diffusion equations[J].SIAM Journal on Numerical Analysis,2007,45(1):443-455.
  • 4Gopaul A,Bhuruth M.Analysis of a fourth-order scheme for a three-dimensional convection-diffusion model problem[J].SIAM Journal on Scientific Computing,2006,28(6):2075-2094.
  • 5Wang Xuan,Yang Zhifeng,Huang Gordon,et al.A high-order compact difference scheme for 2D Laplace and Poisson equations in non-uniform grid systems[J].Communications in Nonlinear Science and Numerical Simulation,2009,14(2):379-398.
  • 6Wang Jie,Zhong Weijun,Zhang Jun.A general meshsize fourth-order compact difference discretization scheme for 3D Poisson equation[J].Applied Mathematics and Computation,2006,183:804-812.
  • 7Asthana K,Sengupta T K.An explicit higher order difference scheme on a compact stencil for elliptic equations on curvilinear geometries[J].Applied Mathematics and Computation,2014,242:143-158.
  • 8Hejranfar K,Ezzatneshan E.Implementation of a highorder compact finite difference lattice Boltzmann method in generalized curvilinear coordinates[J].Journal of Computational Physics,2014,267:28-49.
  • 9Han Fei,Dai Weizhong.New higher-order compact finite difference schemes for 1D heat conduction equations[J].Applied Mathematical Modelling,2013,37(16-17):7940-7952.
  • 10Zhai Shuying,Feng Xinlong,He Yinnian.A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation[J].Applied Mathematics and Computation,2014,230:9-26.

二级参考文献16

  • 1Banks H T. Modeling and Control in the Biomedic- al Sciences [-M. Berlin Heidelberg New York: Springer-Verlag, 1975.
  • 2Ozisik M N. Boundary Value Problems of Heat ConductionEM. New York. Dover Publications, 1989.
  • 3Berikelashvili G, Gupta M M, Mirianashvili M. Convergence of fourth order compact difference schemes for three-dimensional convection-diffusion equations[J. SIAM Journal on Numerical Analy- sis,2007,45(1) .- 443-455.
  • 4Gopaul A, Bhuruth M. Analysis of a fourth-order scheme for a three-dimensional convection-diffusion model problem [-J. SIAM Journal on Scientific Computing, 2006,28 (6) . 2075-2094.
  • 5Ge Lixin,Zhang Jun. Symbolic computation of high order compact difference schemes for three dimen- sional linear elliptic partial differential equations With variable coefficients]-J. Journal of Computa- tional and Applied Mathematics, 2002, 143 (1) 9-27.
  • 6Wang Xuan,Yang Zhifeng, Huang Gordon, et al. A high-order compact difference scheme for 2D La- place and Poisson equations in non-uniform grid systems[J]. Communications in Nonlinear Science and Numerical Simulation,2009,14(2) . 379-398.
  • 7Wang Jie, Zhong Weijun, Zhang Jun. A general meshsize fourth-order compact difference discretiza- tion scheme for 3D Poisson equation[J. Applied Mathematics and Computation, 2006, 183 ( 2 ). 804-812.
  • 8Spotz W F,Carey G F. A high-order compact for- mulation for 3D Poisson equation[J]. Numerical Methods of Partial Differential Equations, I996,12 (2) : 235-243.
  • 9Zhang Jun. Multigrid method and fourth-order compact scheme for 2D Poisson equation with une- qual mesh-size discretization[-J]. Journal of Compu- tational Physics,2002,179(1) . 170-179.
  • 10Stumann G,Steffen B. High-order compact solvers for the three-dimensional Poisson equation [J]. Journal of Computation and Applied Mathematics, 2006,187(2) . 142-170.

共引文献2

同被引文献1

引证文献1

上海电机学院学报
2014年 第5期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部