位置：成果数据库 > 期刊 > 期刊详情页
一维线性Sobolev方程的四阶紧致差分数值模拟
  • ISSN号：1001-4748
  • 期刊名称：《山东师范大学学报：自然科学版》
  • 时间：0
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：山东师范大学数学科学学院,济南250014
  • 相关基金：国家自然科学基金资助项目、（11171193）;山东省科技发展计划资助项目（2012GGB01198）;山东省自然科学基金资助项目（ZR2011AM016,ZR2014AM033）
作者： 王小伟, 姜子文
关键词： SOBOLEV方程, 紧致差分方法, 稳定性, 截断误差, Sobolev equations, compact difference schemes, stability, truncation errors
中文摘要：

紧致差分格式是一种高精度的有限差分方法．本文给出了一维线性Sobolev方程的4阶紧致差分方法，证明了该方法的稳定性．通过数值模拟，验证了该方法的精确性和有效性．

英文摘要：

The compact difference method is a high -accuracy finite difference method. In this paper, we present the 4th order compact difference method of one - dimensional linear Sobolev equation, and prove the stability of the method. We also give a numerical simulation example to verify the effectiveness and accuracy of this method.

同期刊论文项目
间断混合体积（和有限体积）元方法的理论及其应用
期刊论文 49 会议论文 6
同项目期刊论文
A smoothing inexact Newton method for P0 nonlinear complementarity problem
A DISCONTINUOUS FINITE VOLUME METHOD FOR THE DARCY-STOKES EQUATIONS
一类拟线性Sobolev方程的矩形网格混合体积元方法
THE DISCONTINUOUS FINITE VOLUME ELEMENT METHOD AND NUMERICAL SIMULATIONS OF TWO-DIMENSIONAL SEMI-LIN
线性Sobolev方程的全离散间断有限体积元方法
二维半线性伪抛物方程间断有限体积元方法
非线性双曲方程的间断有限体积元方法
An H1-Galerkin expanded mixed finite element approximation of second order nonlinear hyperbolic equa
二维半线性伪抛物方程的全离散有限体积元方法
多孔介质中各向异性渗流问题的界面浸入有限元方法
二维水沙运输模型的特征混合有限元数值模拟
平面二维水沙运输模型的迎风间断有限元数值模拟
求解分数阶二维扩散方程的交替方向隐式法
The Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation
A Fully Discrete Symmetric Finite Volume Element Approximation of Nonlocal Reactive Flows in Porous
Discontinuous Mixed Covolume Methods for Linear Parabolic Integrodifferential Problems
An approximation of three-dimensional semiconductor device by mixed finite element method and charac
An approximation of semiconductor device of heat conduction by mixed finite element method and chara
Space-time finite element approximation of parabolic optimal control problem
Discontinuous Galerkin Immersed Finite Volume Element Method for Anisotropic Flow Models in Porous
A  survey of numerical  method for optimal control problem governed by convection&
一类四阶半线性发展方程的混合体积元方法及其数值模拟
A Partially Penalty Immersed Interface Finite Element Method for Anisotropic Elliptic Interface Prob
  A PRIORI ERROR ANALYSIS FOR FINITE ELEMENT APPROXIMATION OF PARABOLIC OPTIMAL CONTROL PRO
  Discontinuous Mixed Mmethods for Parabolic Problems
Convergence analysis of an H1 Galerkin mixed finite element method for one nonlinear integro-differe
四阶抛物型积分-微分方程三角网格上的混合有限体积元方法
Local Discontinuous Galerkin Finite Element Approximation of Non-fickian Diffusion Model in Viscoela
Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems
Discontinuous Mixed Covolume Methods for Parabolic Problems
An approximation of incompressible miscible displacement in porous media by mixed finite elements an
An optimal-order error estimate for an H1-Galerkin mixed method for a pressure equation in compressi
一类拟线性Burgers型方程的扩展混合元方法
Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers
A smoothing and regularization Broyden-like method for nonlinear inequalities
An approximation of semi？conductor device by mixed finite element method and characteristics-mixed f
H1-Galerkin expanded mixed finite element methods for nonlinear pseudo-parabolic integro-differentia
Spiking DNA Computing with applications to BP Neural Networks Classification
An optimal-order error estimate for a Galerkin-mixed finite element time-stepping procedure for poro
三维对流扩散方程的高精度紧致差分格式
期刊信息
  • 《山东师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:山东省教育厅
  • 主办单位:山东师范大学
  • 主编：刘凯
  • 地址：山东济南市文化东路88号
  • 邮编：250014
  • 邮箱：jsnun@sdnu.edu.cn
  • 电话：0531-86180056 86180057
  • 国际标准刊号：ISSN：1001-4748
  • 国内统一刊号：ISSN：37-1166/N
  • 邮发代号:
  • 获奖情况:
  • 全国高校优秀学报,华东地区优秀期刊,山东省优秀期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,波兰哥白尼索引,中国中国科技核心期刊
  • 被引量:6742