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《Journal of Tianjin Normal University(Natural Science Edition)》 2007-01
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Improved Locally One-dimensional Finite Difference Scheme for Two Dimensional Hyperbolic Equations with Nonhomogenerous Boundary Condition

ZHANG Hong-wei,WANG Tong-ke(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)  
An improved locally one-dimensional finite difference scheme is presented for two dimensional nonhomogenerous hyperbolic equations with first boundary value condition.High dimensional equation can be solved by decomposing to a series of one dimensional equations with this scheme.The scheme overcomes the defects that the source term is hard to decompose and the intermediate boundary condition is difficult to determine.The convergence order of the LOD scheme is O(τ2+h2) in discrete L2 norm.Numerical example indicates the results is very satisfactory.
【Fund】: 国家自然科学基金项目(10471079)
【CateGory Index】: O241.82
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【Co-citations】
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1 XU Dong-liang,ZHOU Liang-qiang(Jincheng College of Nanjing University of Aeronautics and Astronautics,Nanjing 211156,China);Two ADI Scheme for Two-dimension Linear Constant Coefficent Schr dinger Type Equations[J];Journal of Anqing Teachers College(Natural Science Edition);2007-04
2 DUAN YaIi, ZHANG Xiaodan Applied Science School, UST Beijing, Beijing 100083, China;An Efficient Algorithm for Two-Dimension Heat-conduction Equation ETF-FDS-MG[J];Journal of University of Science and Technology Beijing;2001-05
3 SANG Suling(Dept.Phys.,Guyuan Teachers College,Guyuan 756000,Ningxia,China);Solving the critical tortuous load of the unit simply supported bar by COL90[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2003-04
4 LI Jian1,2,SUN Jian-guo1,2 1.College of GeoExploration Science and Technology,Jilin University,Changchun 130026,China 2.Laboratory Integrated Geophysical Interpretation Theory of Ministry for Land and Resources,Changchun 130026,China;Wave Equation Numerical Modeling Based on Irregular Topography[J];Journal of Jilin University(Earth Science Edition);2007-S1
5 SUN Zhang-qing1,2,SUN Jian-guo1,2,ZHANG Dong-liang1,21.College of GeoExploration Science and Technology,Jilin University,Changchun 130026,China2.Laboratory for Integrated Geophysical Interpretation Theory,Ministry for Land and Resources,Changchun 130026,China;2D DC Electric Field Numerical Modeling Including Surface Topography Using Coordinate Transformation Method[J];Journal of Jilin University(Earth Science Edition);2009-03
6 KE Yun-quan(Department of Mathematics shaoxing college of Arts and Sciences,Zhejiang 312---,China);Spline solution to the high order elliptic equations[J];Pure and Applied Mathematics;2003-04
7 MA Ming-shu1,FU Li-zhi2,GU Shu-min3(1.College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China;2. Department of Basic Course,Jiaozuo University,Jiaozuo 454003,China;3.Department of Basic Course,College of Information and Business,Zhongyuan University of Technology,Zhengzhou 450007,China);An ADI scheme for solving parabolic equation of three-dimension[J];Pure and Applied Mathematics;2009-01
8 AN Hong-yan 1, CAI Jing-jiang 2, LI Xin 3, HE Yong-bin 1, FAN Xiao-tao 1, HE Yong-fu 1 (1.Chengdu University of Technology, China; 2.Shanghai Institute of ZTE Limited Company; 3.Panzhihua University, Sichuan);PRECONDITIONED CONJUGATE GRADIENT METHOD AND ITS APPLICATION TO SOLVING BOUNDARY VALUE PROBLEM[J];Journal of Chengdu University of Technology;2002-05
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