Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative

doi:10.1007/s12190-020-01449-x

CSpace

	Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative
	Huang, Jianfei 1; Qiao, Zhi 1; Zhang, Jingna 1; Arshad, Sadia 2; Tang, Yifa 3,4
	2020-10-28
发表期刊	JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
ISSN	1598-5865
页码	19
摘要	In this paper, two linearized schemes for time fractional nonlinear wave equations (TFNWEs) with the space fourth-order derivative are proposed and analyzed. To reduce the smoothness requirement in time, the considered TFNWEs are equivalently transformed into their partial integro-differential forms by the Riemann-Liouville integral. Then, the first scheme is constructed by using piecewise rectangular formulas in time and the fourth-order approximation in space. And, this scheme can be fast evaluated by the sum-of-exponentials technique. The second scheme is developed by using the Crank-Nicolson technique combined with the second-order convolution quadrature formula. By the energy method, the convergence and unconditional stability of the proposed schemes are proved rigorously. Finally, numerical experiments are given to support our theoretical results.
关键词	Fractional nonlinear wave equations Fourth-order derivative Linearized schemes Stability Convergence
DOI	10.1007/s12190-020-01449-x
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11701502] ; National Natural Science Foundation of China[11871065]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000582810900001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52401
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Jianfei
作者单位	1.Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China 2.COMSATS Univ Islamabad, Lahore Campus, Islamabad, Pakistan 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Huang, Jianfei,Qiao, Zhi,Zhang, Jingna,et al. Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING,2020:19.
APA	Huang, Jianfei,Qiao, Zhi,Zhang, Jingna,Arshad, Sadia,&Tang, Yifa.(2020).Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative.JOURNAL OF APPLIED MATHEMATICS AND COMPUTING,19.
MLA	Huang, Jianfei,et al."Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative".JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2020):19.