alternatingdirectionimplicitschemesforthetwodimensionaltimefractionalnonlinearsuperdiffusionequations

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	alternatingdirectionimplicitschemesforthetwodimensionaltimefractionalnonlinearsuperdiffusionequations
	Jianfei Huang 1; Yue Zhao 2; Sadia Arshad 4; Kuangying Li 5; Yifa Tang 2
	2019
发表期刊	计算数学英文版
ISSN	0254-9409
卷号	037 期号:003 页码:297
摘要	As is known,there exist numerous alternating direction implicit(ADI)schemes for the two-dimensional linear time fractional partial differential equations(PDEs).However,if the ADI schemes for linear problems combined with local linearization techniques are applied to solve nonlinear problems,the stability and convergence of the methods are often not clear.In this paper,two ADI schemes are developed for solving the two-dimensional time fractional nonlinear super-diffusion equations based on their equivalent partial integrodifferential equations.In these two schemes,the standard second-order central difference approximation is used for the spatial discretization,and the classical first-order approximation is applied to discretize the Riemann-Liouville fractional integral in time.The solvability,unconditional stability and L2 norm convergence of the proposed ADI schemes are proved rigorously.The convergence order of the schemes is 0(τ+hx^2+hy^2),where τ is the temporal mesh size,hx and hy are spatial mesh sizes in the x and y directions,respectively.Finally,numerical experiments are carried out to support the theoretical results and demonstrate the performances of two ADI schemes.
语种	英语
资助项目	[National Natural Science Foundation of China]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/42559
专题	中国科学院数学与系统科学研究院
作者单位	1.College of Mathematical Sciences,Yangzhou University 2.LSEC,ICMSEC,Academy of Mathematics and Systems Science,Chinese Academy of Sciences 3.中国科学院 4.COMSATS Institute of Information Technology,LahoTe,Pakistan 5.McDougall School of Petroleum Engineering,The University of Tulsa,Tulsa,USA
推荐引用方式 GB/T 7714	Jianfei Huang,Yue Zhao,Sadia Arshad,et al. alternatingdirectionimplicitschemesforthetwodimensionaltimefractionalnonlinearsuperdiffusionequations[J]. 计算数学英文版,2019,037(003):297.
APA	Jianfei Huang,Yue Zhao,Sadia Arshad,Kuangying Li,&Yifa Tang.(2019).alternatingdirectionimplicitschemesforthetwodimensionaltimefractionalnonlinearsuperdiffusionequations.计算数学英文版,037(003),297.
MLA	Jianfei Huang,et al."alternatingdirectionimplicitschemesforthetwodimensionaltimefractionalnonlinearsuperdiffusionequations".计算数学英文版 037.003(2019):297.