ON FICTITIOUS DOMAIN METHOD FOR THE NUMERICAL SOLUTION TO HEAT CONDUCTION EQUATION WITH DERIVATIVE BOUNDARY CONDITIONS-中国期刊网

摘要 Thispaperinvestigatesthestabilityandconvergenceofsomeknowndifferenceschemesforthenumericalsolutiontoheatconductionequationwithderivativeboundaryconditionsbythefictitiousdomainmethod.Thediscretevari-ablesatthefalsemeshpointsarefirstlyeliminatedfromthedifferenceschemesandthelocaltruncationerrorsarethenanalyzedindetail.Thestabilityandconvergenceoftheschemesareprovedbyenergymethod.Animprovementisproposedtoobtainbetterschemesovertheoriginalones.Severalnumericalexamplesandcomparisonswithotherschemesarepresented.

1LiuGao－Lian;ZhangDao－Fang. Numerical Methods for Inverse Problem of Heat Conduction with Unkonown Boundary Based on Variational Principles with Variable Domain.物理,1992-04.
2Haibing Wang;Jijun Liu. Numerical Solution for the Helmholtz Equation with Mixed Boundary Condition.基础数学,2007-03.
3Hou-de Han;Xiao-nan Wu;Zhen-li Xu. ARTIFICIAL BOUNDARY METHOD FOR BURGERS＇ EQUATION USING NONLINEAR BOUNDARY CONDITIONS.计算数学,2006-03.
4Yan-Biao Gan;Ai-Guo Xu;Guang-Cai Zhang;Ying-Jun Li. Physical modeling of multiphase flow via lattice Boltzmann method： Numerical effects, equation of state and boundary conditions.物理,2012-04.
5Youtong Zhang;Changsong Zheng;Yongfeng Liu;Liang Shao;Chenhua Gou. Two exact solutions of the DPL non-Fourier heat conduction equation with special conditions.力学,2009-02.
6Xiaonan Wu;Jiwei Zhang. HIGH-ORDER LOCAL ABSORBING BOUNDARY CONDITIONS FOR HEAT EQUATION IN UNBOUNDED DOMAINS.计算数学,2011-01.
7徐建国;王绵森;朱广田. ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE NEUTRON TRANSPORT EQUATION IN A SLAB WITH GENERALIZED REFLECTING BOUNDARY CONDITIONS.系统科学,1989-01.
8Jianming Liu;Zhizhong Sun. Finite Difference Method for Reaction-Diffusion Nonlocal Boundary Conditions Equation with.基础数学,2007-02.
9Long, SY;Zhang, Q. APPLICATION OF THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD TO SOLUTION OF NONLINEAR DIFFERENTIAL EQUATION.固体力学,2000-02.
10Ling Huang;Chi-Wang Shu;Mengping Zhang. NUMERICAL BOUNDARY CONDITIONS FOR THE FAST SWEEPING HIGH ORDER WENO METHODS FOR SOLVING THE EIKONAL EQUATION.计算数学,2008-03.

ON FICTITIOUS DOMAIN METHOD FOR THE NUMERICAL SOLUTION TO HEAT CONDUCTION EQUATION WITH DERIVATIVE BOUNDARY CONDITIONS

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ON FICTITIOUS DOMAIN METHOD FOR THE NUMERICAL SOLUTION TO HEAT CONDUCTION EQUATION WITH DERIVATIVE BOUNDARY CONDITIONS

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