KMS Of Academy of mathematics and systems sciences, CAS
| Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative | |
| Huang, Jianfei1; Qiao, Zhi1; Zhang, Jingna1; Arshad, Sadia2; Tang, Yifa3,4 | |
| 2020-10-28 | |
| Source Publication | JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
 |
| ISSN | 1598-5865 |
| Pages | 19 |
| Abstract | 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. |
| Keyword | Fractional nonlinear wave equations Fourth-order derivative Linearized schemes Stability Convergence |
| DOI | 10.1007/s12190-020-01449-x |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11701502] ; National Natural Science Foundation of China[11871065] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000582810900001 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/52401 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Huang, Jianfei |
| Affiliation | 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 |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment