Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative
文献类型：期刊论文
| 作者 | Huang, Jianfei1; Qiao, Zhi1; Zhang, Jingna1; Arshad, Sadia2; Tang, Yifa3,4 |
| 刊名 | JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
 |
| 出版日期 | 2020-10-28 |
| 页码 | 19 |
| 关键词 | Fractional nonlinear wave equations Fourth-order derivative Linearized schemes Stability Convergence |
| ISSN号 | 1598-5865 |
| DOI | 10.1007/s12190-020-01449-x |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Foundation of China[11701502] ; National Natural Science Foundation of China[11871065] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000582810900001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52400]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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