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《Journal of Wuyi University(Natural Science Edition)》 2014-01
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A Finite Difference Scheme and a Convergence Analysis of a Kind of Anomalous Diffusion Equation with Neumann Conditions

MA Liang-liang;LIU Dong-bing;College of Mathematics and Computer Science,Panzhihua University;  
A finite difference method and a convergence problem for a kind of anomalous diffusion equation with Neumann conditions are discussed. A finite difference scheme is obtained by adopting the method of the first-order forward difference quotient and second-order space center difference quotient and the formula of higher-order linear multistep method to discrete the fractional derivatives. The stability of the difference scheme is analyzed by means of Fourier analysis and the errors and convergence of the schemes are also discussed.
【Fund】: 国家自然科学基金资助项目(No.60673192);; 四川省科技厅资助项目(2013JY0125)
【CateGory Index】: O241.82
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Chinese Journal Full-text Database 2 Hits
1 MAO Zhi1,2(1.Department of Mathematics and Computer Science,Tongren University,Tongren,Guizhou 554300,China; 2.School of Mathematics and Computational Science,Xiangtan University,Xiangtan,Hunan,411105,China;);The fractional partial differential equation describing subdiffusion[J];Journal of Guiyang University(Natural Sciences);2012-04
2 YU Chun-xiao;YUAN Run-hao;WEI Guo-yong;CUI Dong;School of Science,Yanshan University;;A new implicit difference method for the variable order fractional diffusion equation[J];Journal of Anhui University(Natural Science Edition);2014-01
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